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Finding the Fourth Proportional to 83,071.62, 114,639 and 45,345.84

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Solution

The fourth proportional to 83,071.62, 114,639 and 45,345.84 is: 62,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071.62 : 114,639 = 45,345.84 : x
  2. Step 2: Convert to fraction form
    83,071.62/114,639 = 45,345.84/x
  3. Step 3: Cross multiply
    83,071.62x = 114,639 × 45,345.84
  4. Step 4: Simplify right side
    83,071.62x = 5,198,401,751.76
  5. Step 5: Solve for x
    x = 5,198,401,751.76/83,071.62
  6. Step 6: Final answer
    x = 62,577.35

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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.