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Finding the Fourth Proportional to 61,002.60, 91,484.46 and 31,416.54

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Solution

The fourth proportional to 61,002.60, 91,484.46 and 31,416.54 is: 47,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002.60 : 91,484.46 = 31,416.54 : x
  2. Step 2: Convert to fraction form
    61,002.60/91,484.46 = 31,416.54/x
  3. Step 3: Cross multiply
    61,002.60x = 91,484.46 × 31,416.54
  4. Step 4: Simplify right side
    61,002.60x = 2,874,125,196.97
  5. Step 5: Solve for x
    x = 2,874,125,196.97/61,002.60
  6. Step 6: Final answer
    x = 47,114.80

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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.