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Finding the Fourth Proportional to 83,074.01, 114,631.70 and 47,264.63

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Solution

The fourth proportional to 83,074.01, 114,631.70 and 47,264.63 is: 65,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.01 : 114,631.70 = 47,264.63 : x
  2. Step 2: Convert to fraction form
    83,074.01/114,631.70 = 47,264.63/x
  3. Step 3: Cross multiply
    83,074.01x = 114,631.70 × 47,264.63
  4. Step 4: Simplify right side
    83,074.01x = 5,418,024,077.29
  5. Step 5: Solve for x
    x = 5,418,024,077.29/83,074.01
  6. Step 6: Final answer
    x = 65,219.25

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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.