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Finding the Fourth Proportional to 48,355.68, 72,518.16 and 15,516

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Solution

The fourth proportional to 48,355.68, 72,518.16 and 15,516 is: 23,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,355.68 : 72,518.16 = 15,516 : x
  2. Step 2: Convert to fraction form
    48,355.68/72,518.16 = 15,516/x
  3. Step 3: Cross multiply
    48,355.68x = 72,518.16 × 15,516
  4. Step 4: Simplify right side
    48,355.68x = 1,125,191,770.56
  5. Step 5: Solve for x
    x = 1,125,191,770.56/48,355.68
  6. Step 6: Final answer
    x = 23,269.07

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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.