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Finding the Fourth Proportional to 48,473.43, 72,711.76 and 13,410.15

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Solution

The fourth proportional to 48,473.43, 72,711.76 and 13,410.15 is: 20,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473.43 : 72,711.76 = 13,410.15 : x
  2. Step 2: Convert to fraction form
    48,473.43/72,711.76 = 13,410.15/x
  3. Step 3: Cross multiply
    48,473.43x = 72,711.76 × 13,410.15
  4. Step 4: Simplify right side
    48,473.43x = 975,075,211.28
  5. Step 5: Solve for x
    x = 975,075,211.28/48,473.43
  6. Step 6: Final answer
    x = 20,115.67

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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.