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Finding the Fourth Proportional to 32,115.96, 48,178.53 and 9,931.04

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Solution

The fourth proportional to 32,115.96, 48,178.53 and 9,931.04 is: 14,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.96 : 48,178.53 = 9,931.04 : x
  2. Step 2: Convert to fraction form
    32,115.96/48,178.53 = 9,931.04/x
  3. Step 3: Cross multiply
    32,115.96x = 48,178.53 × 9,931.04
  4. Step 4: Simplify right side
    32,115.96x = 478,462,848.35
  5. Step 5: Solve for x
    x = 478,462,848.35/32,115.96
  6. Step 6: Final answer
    x = 14,897.98

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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.