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Finding the Fourth Proportional to 48,934.40, 73,404.48 and 13,875.20

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Solution

The fourth proportional to 48,934.40, 73,404.48 and 13,875.20 is: 20,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,934.40 : 73,404.48 = 13,875.20 : x
  2. Step 2: Convert to fraction form
    48,934.40/73,404.48 = 13,875.20/x
  3. Step 3: Cross multiply
    48,934.40x = 73,404.48 × 13,875.20
  4. Step 4: Simplify right side
    48,934.40x = 1,018,501,840.90
  5. Step 5: Solve for x
    x = 1,018,501,840.90/48,934.40
  6. Step 6: Final answer
    x = 20,813.62

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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.