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Finding the Fourth Proportional to 51,411.60, 70,946.64 and 29,055.60

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Solution

The fourth proportional to 51,411.60, 70,946.64 and 29,055.60 is: 40,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,411.60 : 70,946.64 = 29,055.60 : x
  2. Step 2: Convert to fraction form
    51,411.60/70,946.64 = 29,055.60/x
  3. Step 3: Cross multiply
    51,411.60x = 70,946.64 × 29,055.60
  4. Step 4: Simplify right side
    51,411.60x = 2,061,397,193.18
  5. Step 5: Solve for x
    x = 2,061,397,193.18/51,411.60
  6. Step 6: Final answer
    x = 40,095.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.