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Finding the Fourth Proportional to 48,657.60, 72,986.40 and 38,816.10

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Solution

The fourth proportional to 48,657.60, 72,986.40 and 38,816.10 is: 58,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.60 : 72,986.40 = 38,816.10 : x
  2. Step 2: Convert to fraction form
    48,657.60/72,986.40 = 38,816.10/x
  3. Step 3: Cross multiply
    48,657.60x = 72,986.40 × 38,816.10
  4. Step 4: Simplify right side
    48,657.60x = 2,833,047,401.04
  5. Step 5: Solve for x
    x = 2,833,047,401.04/48,657.60
  6. Step 6: Final answer
    x = 58,224.15

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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.