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Finding the Fourth Proportional to 32,263.50, 48,397.07 and 11,487

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Solution

The fourth proportional to 32,263.50, 48,397.07 and 11,487 is: 17,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,263.50 : 48,397.07 = 11,487 : x
  2. Step 2: Convert to fraction form
    32,263.50/48,397.07 = 11,487/x
  3. Step 3: Cross multiply
    32,263.50x = 48,397.07 × 11,487
  4. Step 4: Simplify right side
    32,263.50x = 555,937,171.81
  5. Step 5: Solve for x
    x = 555,937,171.81/32,263.50
  6. Step 6: Final answer
    x = 17,231.15

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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.