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Finding the Fourth Proportional to 61,564.96, 92,085.00 and 37,814.14

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Solution

The fourth proportional to 61,564.96, 92,085.00 and 37,814.14 is: 56,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564.96 : 92,085.00 = 37,814.14 : x
  2. Step 2: Convert to fraction form
    61,564.96/92,085.00 = 37,814.14/x
  3. Step 3: Cross multiply
    61,564.96x = 92,085.00 × 37,814.14
  4. Step 4: Simplify right side
    61,564.96x = 3,482,115,267.91
  5. Step 5: Solve for x
    x = 3,482,115,267.91/61,564.96
  6. Step 6: Final answer
    x = 56,560.02

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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.