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Finding the Fourth Proportional to 104,707.68, 157,061.52 and 49,308

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Solution

The fourth proportional to 104,707.68, 157,061.52 and 49,308 is: 73,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,707.68 : 157,061.52 = 49,308 : x
  2. Step 2: Convert to fraction form
    104,707.68/157,061.52 = 49,308/x
  3. Step 3: Cross multiply
    104,707.68x = 157,061.52 × 49,308
  4. Step 4: Simplify right side
    104,707.68x = 7,744,389,428.16
  5. Step 5: Solve for x
    x = 7,744,389,428.16/104,707.68
  6. Step 6: Final answer
    x = 73,962

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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.