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Finding the Fourth Proportional to 82,575.16, 123,862.74 and 35,827

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Solution

The fourth proportional to 82,575.16, 123,862.74 and 35,827 is: 53,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.16 : 123,862.74 = 35,827 : x
  2. Step 2: Convert to fraction form
    82,575.16/123,862.74 = 35,827/x
  3. Step 3: Cross multiply
    82,575.16x = 123,862.74 × 35,827
  4. Step 4: Simplify right side
    82,575.16x = 4,437,630,385.98
  5. Step 5: Solve for x
    x = 4,437,630,385.98/82,575.16
  6. Step 6: Final answer
    x = 53,740.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.