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Finding the Fourth Proportional to 75,332.64, 103,848.01 and 57,396.54

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Solution

The fourth proportional to 75,332.64, 103,848.01 and 57,396.54 is: 79,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332.64 : 103,848.01 = 57,396.54 : x
  2. Step 2: Convert to fraction form
    75,332.64/103,848.01 = 57,396.54/x
  3. Step 3: Cross multiply
    75,332.64x = 103,848.01 × 57,396.54
  4. Step 4: Simplify right side
    75,332.64x = 5,960,516,459.89
  5. Step 5: Solve for x
    x = 5,960,516,459.89/75,332.64
  6. Step 6: Final answer
    x = 79,122.63

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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.