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Finding the Fourth Proportional to 48,473.70, 72,712.26 and 13,416

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Solution

The fourth proportional to 48,473.70, 72,712.26 and 13,416 is: 20,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473.70 : 72,712.26 = 13,416 : x
  2. Step 2: Convert to fraction form
    48,473.70/72,712.26 = 13,416/x
  3. Step 3: Cross multiply
    48,473.70x = 72,712.26 × 13,416
  4. Step 4: Simplify right side
    48,473.70x = 975,507,680.16
  5. Step 5: Solve for x
    x = 975,507,680.16/48,473.70
  6. Step 6: Final answer
    x = 20,124.47

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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.