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Finding the Fourth Proportional to 48,463.76, 72,697.08 and 13,406

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Solution

The fourth proportional to 48,463.76, 72,697.08 and 13,406 is: 20,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.76 : 72,697.08 = 13,406 : x
  2. Step 2: Convert to fraction form
    48,463.76/72,697.08 = 13,406/x
  3. Step 3: Cross multiply
    48,463.76x = 72,697.08 × 13,406
  4. Step 4: Simplify right side
    48,463.76x = 974,577,054.48
  5. Step 5: Solve for x
    x = 974,577,054.48/48,463.76
  6. Step 6: Final answer
    x = 20,109.40

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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.