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Finding the Fourth Proportional to 93,710, 140,565.14 and 38,306

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Solution

The fourth proportional to 93,710, 140,565.14 and 38,306 is: 57,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,710 : 140,565.14 = 38,306 : x
  2. Step 2: Convert to fraction form
    93,710/140,565.14 = 38,306/x
  3. Step 3: Cross multiply
    93,710x = 140,565.14 × 38,306
  4. Step 4: Simplify right side
    93,710x = 5,384,488,252.84
  5. Step 5: Solve for x
    x = 5,384,488,252.84/93,710
  6. Step 6: Final answer
    x = 57,459.06

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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.