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Finding the Fourth Proportional to 82,575.30, 114,001.20 and 54,363

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Solution

The fourth proportional to 82,575.30, 114,001.20 and 54,363 is: 75,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.30 : 114,001.20 = 54,363 : x
  2. Step 2: Convert to fraction form
    82,575.30/114,001.20 = 54,363/x
  3. Step 3: Cross multiply
    82,575.30x = 114,001.20 × 54,363
  4. Step 4: Simplify right side
    82,575.30x = 6,197,447,235.60
  5. Step 5: Solve for x
    x = 6,197,447,235.60/82,575.30
  6. Step 6: Final answer
    x = 75,052.07

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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.