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Finding the Fourth Proportional to 71,011.64, 106,407.96 and 34,946.68

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Solution

The fourth proportional to 71,011.64, 106,407.96 and 34,946.68 is: 52,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011.64 : 106,407.96 = 34,946.68 : x
  2. Step 2: Convert to fraction form
    71,011.64/106,407.96 = 34,946.68/x
  3. Step 3: Cross multiply
    71,011.64x = 106,407.96 × 34,946.68
  4. Step 4: Simplify right side
    71,011.64x = 3,718,604,927.57
  5. Step 5: Solve for x
    x = 3,718,604,927.57/71,011.64
  6. Step 6: Final answer
    x = 52,366.13

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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.