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Finding the Fourth Proportional to 96,101.01, 144,051.18 and 32,902.50

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Solution

The fourth proportional to 96,101.01, 144,051.18 and 32,902.50 is: 49,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,101.01 : 144,051.18 = 32,902.50 : x
  2. Step 2: Convert to fraction form
    96,101.01/144,051.18 = 32,902.50/x
  3. Step 3: Cross multiply
    96,101.01x = 144,051.18 × 32,902.50
  4. Step 4: Simplify right side
    96,101.01x = 4,739,643,949.95
  5. Step 5: Solve for x
    x = 4,739,643,949.95/96,101.01
  6. Step 6: Final answer
    x = 49,319.40

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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.