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Finding the Fourth Proportional to 52,472.88, 78,584.04 and 29,041.20

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Solution

The fourth proportional to 52,472.88, 78,584.04 and 29,041.20 is: 43,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.88 : 78,584.04 = 29,041.20 : x
  2. Step 2: Convert to fraction form
    52,472.88/78,584.04 = 29,041.20/x
  3. Step 3: Cross multiply
    52,472.88x = 78,584.04 × 29,041.20
  4. Step 4: Simplify right side
    52,472.88x = 2,282,174,822.45
  5. Step 5: Solve for x
    x = 2,282,174,822.45/52,472.88
  6. Step 6: Final answer
    x = 43,492.46

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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.