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Finding the Fourth Proportional to 83,302.25, 114,971.07 and 65,532.87

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Solution

The fourth proportional to 83,302.25, 114,971.07 and 65,532.87 is: 90,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.25 : 114,971.07 = 65,532.87 : x
  2. Step 2: Convert to fraction form
    83,302.25/114,971.07 = 65,532.87/x
  3. Step 3: Cross multiply
    83,302.25x = 114,971.07 × 65,532.87
  4. Step 4: Simplify right side
    83,302.25x = 7,534,384,184.07
  5. Step 5: Solve for x
    x = 7,534,384,184.07/83,302.25
  6. Step 6: Final answer
    x = 90,446.35

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1.5x scale

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.