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Finding the Fourth Proportional to 93,714, 140,590.44 and 38,310

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Solution

The fourth proportional to 93,714, 140,590.44 and 38,310 is: 57,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,714 : 140,590.44 = 38,310 : x
  2. Step 2: Convert to fraction form
    93,714/140,590.44 = 38,310/x
  3. Step 3: Cross multiply
    93,714x = 140,590.44 × 38,310
  4. Step 4: Simplify right side
    93,714x = 5,386,019,756.40
  5. Step 5: Solve for x
    x = 5,386,019,756.40/93,714
  6. Step 6: Final answer
    x = 57,472.95

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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.