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Finding the Fourth Proportional to 32,115.82, 48,178.36 and 9,931.14

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Solution

The fourth proportional to 32,115.82, 48,178.36 and 9,931.14 is: 14,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.82 : 48,178.36 = 9,931.14 : x
  2. Step 2: Convert to fraction form
    32,115.82/48,178.36 = 9,931.14/x
  3. Step 3: Cross multiply
    32,115.82x = 48,178.36 × 9,931.14
  4. Step 4: Simplify right side
    32,115.82x = 478,466,038.13
  5. Step 5: Solve for x
    x = 478,466,038.13/32,115.82
  6. Step 6: Final answer
    x = 14,898.14

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1.5x scale

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.