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Finding the Fourth Proportional to 83,649.53, 115,434.92 and 45,923.51

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Solution

The fourth proportional to 83,649.53, 115,434.92 and 45,923.51 is: 63,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,649.53 : 115,434.92 = 45,923.51 : x
  2. Step 2: Convert to fraction form
    83,649.53/115,434.92 = 45,923.51/x
  3. Step 3: Cross multiply
    83,649.53x = 115,434.92 × 45,923.51
  4. Step 4: Simplify right side
    83,649.53x = 5,301,176,473.35
  5. Step 5: Solve for x
    x = 5,301,176,473.35/83,649.53
  6. Step 6: Final answer
    x = 63,373.66

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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.