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Finding the Fourth Proportional to 61,784.87, 92,677.40 and 15,037.74

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Solution

The fourth proportional to 61,784.87, 92,677.40 and 15,037.74 is: 22,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.87 : 92,677.40 = 15,037.74 : x
  2. Step 2: Convert to fraction form
    61,784.87/92,677.40 = 15,037.74/x
  3. Step 3: Cross multiply
    61,784.87x = 92,677.40 × 15,037.74
  4. Step 4: Simplify right side
    61,784.87x = 1,393,658,569.89
  5. Step 5: Solve for x
    x = 1,393,658,569.89/61,784.87
  6. Step 6: Final answer
    x = 22,556.63

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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.