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Finding the Fourth Proportional to 61,614.16, 85,028.76 and 34,751.40

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Solution

The fourth proportional to 61,614.16, 85,028.76 and 34,751.40 is: 47,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614.16 : 85,028.76 = 34,751.40 : x
  2. Step 2: Convert to fraction form
    61,614.16/85,028.76 = 34,751.40/x
  3. Step 3: Cross multiply
    61,614.16x = 85,028.76 × 34,751.40
  4. Step 4: Simplify right side
    61,614.16x = 2,954,868,450.26
  5. Step 5: Solve for x
    x = 2,954,868,450.26/61,614.16
  6. Step 6: Final answer
    x = 47,957.62

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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.