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Finding the Fourth Proportional to 48,978.60, 73,472.75 and 19,416.84

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Solution

The fourth proportional to 48,978.60, 73,472.75 and 19,416.84 is: 29,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.60 : 73,472.75 = 19,416.84 : x
  2. Step 2: Convert to fraction form
    48,978.60/73,472.75 = 19,416.84/x
  3. Step 3: Cross multiply
    48,978.60x = 73,472.75 × 19,416.84
  4. Step 4: Simplify right side
    48,978.60x = 1,426,608,631.11
  5. Step 5: Solve for x
    x = 1,426,608,631.11/48,978.60
  6. Step 6: Final answer
    x = 29,127.18

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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.