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Finding the Fourth Proportional to 48,423.68, 72,657.44 and 24,719.01

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Solution

The fourth proportional to 48,423.68, 72,657.44 and 24,719.01 is: 37,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,423.68 : 72,657.44 = 24,719.01 : x
  2. Step 2: Convert to fraction form
    48,423.68/72,657.44 = 24,719.01/x
  3. Step 3: Cross multiply
    48,423.68x = 72,657.44 × 24,719.01
  4. Step 4: Simplify right side
    48,423.68x = 1,796,019,985.93
  5. Step 5: Solve for x
    x = 1,796,019,985.93/48,423.68
  6. Step 6: Final answer
    x = 37,089.70

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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.