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Finding the Fourth Proportional to 83,357.92, 115,032.64 and 45,632

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Solution

The fourth proportional to 83,357.92, 115,032.64 and 45,632 is: 62,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.92 : 115,032.64 = 45,632 : x
  2. Step 2: Convert to fraction form
    83,357.92/115,032.64 = 45,632/x
  3. Step 3: Cross multiply
    83,357.92x = 115,032.64 × 45,632
  4. Step 4: Simplify right side
    83,357.92x = 5,249,169,428.48
  5. Step 5: Solve for x
    x = 5,249,169,428.48/83,357.92
  6. Step 6: Final answer
    x = 62,971.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.