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Finding the Fourth Proportional to 83,537, 115,279.80 and 45,295.46

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Solution

The fourth proportional to 83,537, 115,279.80 and 45,295.46 is: 62,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,537 : 115,279.80 = 45,295.46 : x
  2. Step 2: Convert to fraction form
    83,537/115,279.80 = 45,295.46/x
  3. Step 3: Cross multiply
    83,537x = 115,279.80 × 45,295.46
  4. Step 4: Simplify right side
    83,537x = 5,221,651,569.71
  5. Step 5: Solve for x
    x = 5,221,651,569.71/83,537
  6. Step 6: Final answer
    x = 62,507.05

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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.