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Finding the Fourth Proportional to 32,307.54, 48,451.95 and 12,581.70

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Solution

The fourth proportional to 32,307.54, 48,451.95 and 12,581.70 is: 18,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.54 : 48,451.95 = 12,581.70 : x
  2. Step 2: Convert to fraction form
    32,307.54/48,451.95 = 12,581.70/x
  3. Step 3: Cross multiply
    32,307.54x = 48,451.95 × 12,581.70
  4. Step 4: Simplify right side
    32,307.54x = 609,607,899.32
  5. Step 5: Solve for x
    x = 609,607,899.32/32,307.54
  6. Step 6: Final answer
    x = 18,868.90

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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.