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Finding the Fourth Proportional to 65,529.38, 90,339 and 55,417.16

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Solution

The fourth proportional to 65,529.38, 90,339 and 55,417.16 is: 76,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529.38 : 90,339 = 55,417.16 : x
  2. Step 2: Convert to fraction form
    65,529.38/90,339 = 55,417.16/x
  3. Step 3: Cross multiply
    65,529.38x = 90,339 × 55,417.16
  4. Step 4: Simplify right side
    65,529.38x = 5,006,330,817.24
  5. Step 5: Solve for x
    x = 5,006,330,817.24/65,529.38
  6. Step 6: Final answer
    x = 76,398.26

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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.