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Finding the Fourth Proportional to 48,738.60, 73,107.90 and 32,117.40

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Solution

The fourth proportional to 48,738.60, 73,107.90 and 32,117.40 is: 48,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738.60 : 73,107.90 = 32,117.40 : x
  2. Step 2: Convert to fraction form
    48,738.60/73,107.90 = 32,117.40/x
  3. Step 3: Cross multiply
    48,738.60x = 73,107.90 × 32,117.40
  4. Step 4: Simplify right side
    48,738.60x = 2,348,035,667.46
  5. Step 5: Solve for x
    x = 2,348,035,667.46/48,738.60
  6. Step 6: Final answer
    x = 48,176.10

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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.