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Finding the Fourth Proportional to 61,689.78, 92,534.76 and 14,942.52

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Solution

The fourth proportional to 61,689.78, 92,534.76 and 14,942.52 is: 22,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,689.78 : 92,534.76 = 14,942.52 : x
  2. Step 2: Convert to fraction form
    61,689.78/92,534.76 = 14,942.52/x
  3. Step 3: Cross multiply
    61,689.78x = 92,534.76 × 14,942.52
  4. Step 4: Simplify right side
    61,689.78x = 1,382,702,502.00
  5. Step 5: Solve for x
    x = 1,382,702,502.00/61,689.78
  6. Step 6: Final answer
    x = 22,413.80

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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.