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Finding the Fourth Proportional to 83,235.63, 114,865.17 and 45,509.88

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Solution

The fourth proportional to 83,235.63, 114,865.17 and 45,509.88 is: 62,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.63 : 114,865.17 = 45,509.88 : x
  2. Step 2: Convert to fraction form
    83,235.63/114,865.17 = 45,509.88/x
  3. Step 3: Cross multiply
    83,235.63x = 114,865.17 × 45,509.88
  4. Step 4: Simplify right side
    83,235.63x = 5,227,500,102.88
  5. Step 5: Solve for x
    x = 5,227,500,102.88/83,235.63
  6. Step 6: Final answer
    x = 62,803.63

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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.