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Finding the Fourth Proportional to 75,154.38, 103,663.20 and 48,330.84

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Solution

The fourth proportional to 75,154.38, 103,663.20 and 48,330.84 is: 66,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.38 : 103,663.20 = 48,330.84 : x
  2. Step 2: Convert to fraction form
    75,154.38/103,663.20 = 48,330.84/x
  3. Step 3: Cross multiply
    75,154.38x = 103,663.20 × 48,330.84
  4. Step 4: Simplify right side
    75,154.38x = 5,010,129,533.09
  5. Step 5: Solve for x
    x = 5,010,129,533.09/75,154.38
  6. Step 6: Final answer
    x = 66,664.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.