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Finding the Fourth Proportional to 83,029.28, 114,581.84 and 45,303.84

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Solution

The fourth proportional to 83,029.28, 114,581.84 and 45,303.84 is: 62,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.28 : 114,581.84 = 45,303.84 : x
  2. Step 2: Convert to fraction form
    83,029.28/114,581.84 = 45,303.84/x
  3. Step 3: Cross multiply
    83,029.28x = 114,581.84 × 45,303.84
  4. Step 4: Simplify right side
    83,029.28x = 5,190,997,346.27
  5. Step 5: Solve for x
    x = 5,190,997,346.27/83,029.28
  6. Step 6: Final answer
    x = 62,520.08

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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.