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Finding the Fourth Proportional to 103,684.30, 155,459.49 and 56,924.62

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Solution

The fourth proportional to 103,684.30, 155,459.49 and 56,924.62 is: 85,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.30 : 155,459.49 = 56,924.62 : x
  2. Step 2: Convert to fraction form
    103,684.30/155,459.49 = 56,924.62/x
  3. Step 3: Cross multiply
    103,684.30x = 155,459.49 × 56,924.62
  4. Step 4: Simplify right side
    103,684.30x = 8,849,472,393.64
  5. Step 5: Solve for x
    x = 8,849,472,393.64/103,684.30
  6. Step 6: Final answer
    x = 85,350.17

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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.