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Finding the Fourth Proportional to 101,755.76, 152,465.16 and 35,158.88

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Solution

The fourth proportional to 101,755.76, 152,465.16 and 35,158.88 is: 52,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,755.76 : 152,465.16 = 35,158.88 : x
  2. Step 2: Convert to fraction form
    101,755.76/152,465.16 = 35,158.88/x
  3. Step 3: Cross multiply
    101,755.76x = 152,465.16 × 35,158.88
  4. Step 4: Simplify right side
    101,755.76x = 5,360,503,883.46
  5. Step 5: Solve for x
    x = 5,360,503,883.46/101,755.76
  6. Step 6: Final answer
    x = 52,680.10

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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.