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Finding the Fourth Proportional to 48,478.64, 72,643.74 and 32,624.90

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Solution

The fourth proportional to 48,478.64, 72,643.74 and 32,624.90 is: 48,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478.64 : 72,643.74 = 32,624.90 : x
  2. Step 2: Convert to fraction form
    48,478.64/72,643.74 = 32,624.90/x
  3. Step 3: Cross multiply
    48,478.64x = 72,643.74 × 32,624.90
  4. Step 4: Simplify right side
    48,478.64x = 2,369,994,753.13
  5. Step 5: Solve for x
    x = 2,369,994,753.13/48,478.64
  6. Step 6: Final answer
    x = 48,887.40

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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.