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Finding the Fourth Proportional to 32,894,409.60, 49,341,614.40 and 8,959,881.60

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Solution

The fourth proportional to 32,894,409.60, 49,341,614.40 and 8,959,881.60 is: 13,439,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894,409.60 : 49,341,614.40 = 8,959,881.60 : x
  2. Step 2: Convert to fraction form
    32,894,409.60/49,341,614.40 = 8,959,881.60/x
  3. Step 3: Cross multiply
    32,894,409.60x = 49,341,614.40 × 8,959,881.60
  4. Step 4: Simplify right side
    32,894,409.60x = 442,095,022,976,855
  5. Step 5: Solve for x
    x = 442,095,022,976,855/32,894,409.60
  6. Step 6: Final answer
    x = 13,439,822.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.