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Finding the Fourth Proportional to 101,904.13, 152,862.95 and 35,337.25

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Solution

The fourth proportional to 101,904.13, 152,862.95 and 35,337.25 is: 53,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904.13 : 152,862.95 = 35,337.25 : x
  2. Step 2: Convert to fraction form
    101,904.13/152,862.95 = 35,337.25/x
  3. Step 3: Cross multiply
    101,904.13x = 152,862.95 × 35,337.25
  4. Step 4: Simplify right side
    101,904.13x = 5,401,756,279.89
  5. Step 5: Solve for x
    x = 5,401,756,279.89/101,904.13
  6. Step 6: Final answer
    x = 53,008.22

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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.