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Finding the Fourth Proportional to 99,134.68, 148,725.42 and 32,575

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Solution

The fourth proportional to 99,134.68, 148,725.42 and 32,575 is: 48,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,134.68 : 148,725.42 = 32,575 : x
  2. Step 2: Convert to fraction form
    99,134.68/148,725.42 = 32,575/x
  3. Step 3: Cross multiply
    99,134.68x = 148,725.42 × 32,575
  4. Step 4: Simplify right side
    99,134.68x = 4,844,730,556.50
  5. Step 5: Solve for x
    x = 4,844,730,556.50/99,134.68
  6. Step 6: Final answer
    x = 48,870.19

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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.