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Finding the Fourth Proportional to 83,054.70, 114,610.95 and 45,328.14

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Solution

The fourth proportional to 83,054.70, 114,610.95 and 45,328.14 is: 62,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.70 : 114,610.95 = 45,328.14 : x
  2. Step 2: Convert to fraction form
    83,054.70/114,610.95 = 45,328.14/x
  3. Step 3: Cross multiply
    83,054.70x = 114,610.95 × 45,328.14
  4. Step 4: Simplify right side
    83,054.70x = 5,195,101,187.13
  5. Step 5: Solve for x
    x = 5,195,101,187.13/83,054.70
  6. Step 6: Final answer
    x = 62,550.36

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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.