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Finding the Fourth Proportional to 83,117.32, 114,696.42 and 45,391.48

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Solution

The fourth proportional to 83,117.32, 114,696.42 and 45,391.48 is: 62,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.32 : 114,696.42 = 45,391.48 : x
  2. Step 2: Convert to fraction form
    83,117.32/114,696.42 = 45,391.48/x
  3. Step 3: Cross multiply
    83,117.32x = 114,696.42 × 45,391.48
  4. Step 4: Simplify right side
    83,117.32x = 5,206,240,254.50
  5. Step 5: Solve for x
    x = 5,206,240,254.50/83,117.32
  6. Step 6: Final answer
    x = 62,637.25

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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.