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Finding the Fourth Proportional to 71,340.32, 98,466 and 47,468

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Solution

The fourth proportional to 71,340.32, 98,466 and 47,468 is: 65,516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340.32 : 98,466 = 47,468 : x
  2. Step 2: Convert to fraction form
    71,340.32/98,466 = 47,468/x
  3. Step 3: Cross multiply
    71,340.32x = 98,466 × 47,468
  4. Step 4: Simplify right side
    71,340.32x = 4,673,984,088
  5. Step 5: Solve for x
    x = 4,673,984,088/71,340.32
  6. Step 6: Final answer
    x = 65,516.72

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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.