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Finding the Fourth Proportional to 85,781.91, 128,554.52 and 61,899.16

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Solution

The fourth proportional to 85,781.91, 128,554.52 and 61,899.16 is: 92,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.91 : 128,554.52 = 61,899.16 : x
  2. Step 2: Convert to fraction form
    85,781.91/128,554.52 = 61,899.16/x
  3. Step 3: Cross multiply
    85,781.91x = 128,554.52 × 61,899.16
  4. Step 4: Simplify right side
    85,781.91x = 7,957,416,802.20
  5. Step 5: Solve for x
    x = 7,957,416,802.20/85,781.91
  6. Step 6: Final answer
    x = 92,763.34

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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.