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Finding the Fourth Proportional to 86,565.33, 119,509.84 and 65,985.83

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Solution

The fourth proportional to 86,565.33, 119,509.84 and 65,985.83 is: 91,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.33 : 119,509.84 = 65,985.83 : x
  2. Step 2: Convert to fraction form
    86,565.33/119,509.84 = 65,985.83/x
  3. Step 3: Cross multiply
    86,565.33x = 119,509.84 × 65,985.83
  4. Step 4: Simplify right side
    86,565.33x = 7,885,955,985.57
  5. Step 5: Solve for x
    x = 7,885,955,985.57/86,565.33
  6. Step 6: Final answer
    x = 91,098.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.