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Finding the Fourth Proportional to 99,145.30, 148,717.95 and 29,024.62

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Solution

The fourth proportional to 99,145.30, 148,717.95 and 29,024.62 is: 43,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,145.30 : 148,717.95 = 29,024.62 : x
  2. Step 2: Convert to fraction form
    99,145.30/148,717.95 = 29,024.62/x
  3. Step 3: Cross multiply
    99,145.30x = 148,717.95 × 29,024.62
  4. Step 4: Simplify right side
    99,145.30x = 4,316,481,242.34
  5. Step 5: Solve for x
    x = 4,316,481,242.34/99,145.30
  6. Step 6: Final answer
    x = 43,536.92

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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.