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Finding the Fourth Proportional to 61,488.56, 92,269.52 and 31,906.16

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Solution

The fourth proportional to 61,488.56, 92,269.52 and 31,906.16 is: 47,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,488.56 : 92,269.52 = 31,906.16 : x
  2. Step 2: Convert to fraction form
    61,488.56/92,269.52 = 31,906.16/x
  3. Step 3: Cross multiply
    61,488.56x = 92,269.52 × 31,906.16
  4. Step 4: Simplify right side
    61,488.56x = 2,943,966,068.24
  5. Step 5: Solve for x
    x = 2,943,966,068.24/61,488.56
  6. Step 6: Final answer
    x = 47,878.27

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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.