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Finding the Fourth Proportional to 53,641.60, 80,476.80 and 47,838.40

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Solution

The fourth proportional to 53,641.60, 80,476.80 and 47,838.40 is: 71,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641.60 : 80,476.80 = 47,838.40 : x
  2. Step 2: Convert to fraction form
    53,641.60/80,476.80 = 47,838.40/x
  3. Step 3: Cross multiply
    53,641.60x = 80,476.80 × 47,838.40
  4. Step 4: Simplify right side
    53,641.60x = 3,849,881,349.12
  5. Step 5: Solve for x
    x = 3,849,881,349.12/53,641.60
  6. Step 6: Final answer
    x = 71,770.44

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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.