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Finding the Fourth Proportional to 83,065.96, 114,632.22 and 45,339.40

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Solution

The fourth proportional to 83,065.96, 114,632.22 and 45,339.40 is: 62,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.96 : 114,632.22 = 45,339.40 : x
  2. Step 2: Convert to fraction form
    83,065.96/114,632.22 = 45,339.40/x
  3. Step 3: Cross multiply
    83,065.96x = 114,632.22 × 45,339.40
  4. Step 4: Simplify right side
    83,065.96x = 5,197,356,075.47
  5. Step 5: Solve for x
    x = 5,197,356,075.47/83,065.96
  6. Step 6: Final answer
    x = 62,569.02

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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.