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Finding the Fourth Proportional to 48,657.68, 72,980.24 and 15,381.11

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Solution

The fourth proportional to 48,657.68, 72,980.24 and 15,381.11 is: 23,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.68 : 72,980.24 = 15,381.11 : x
  2. Step 2: Convert to fraction form
    48,657.68/72,980.24 = 15,381.11/x
  3. Step 3: Cross multiply
    48,657.68x = 72,980.24 × 15,381.11
  4. Step 4: Simplify right side
    48,657.68x = 1,122,516,695.91
  5. Step 5: Solve for x
    x = 1,122,516,695.91/48,657.68
  6. Step 6: Final answer
    x = 23,069.67

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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.