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Finding the Fourth Proportional to 83,074.98, 114,628.14 and 47,262.90

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Solution

The fourth proportional to 83,074.98, 114,628.14 and 47,262.90 is: 65,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.98 : 114,628.14 = 47,262.90 : x
  2. Step 2: Convert to fraction form
    83,074.98/114,628.14 = 47,262.90/x
  3. Step 3: Cross multiply
    83,074.98x = 114,628.14 × 47,262.90
  4. Step 4: Simplify right side
    83,074.98x = 5,417,658,318.01
  5. Step 5: Solve for x
    x = 5,417,658,318.01/83,074.98
  6. Step 6: Final answer
    x = 65,214.08

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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.