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Finding the Fourth Proportional to 102,681.06, 154,027.08 and 32,565.84

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Solution

The fourth proportional to 102,681.06, 154,027.08 and 32,565.84 is: 48,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681.06 : 154,027.08 = 32,565.84 : x
  2. Step 2: Convert to fraction form
    102,681.06/154,027.08 = 32,565.84/x
  3. Step 3: Cross multiply
    102,681.06x = 154,027.08 × 32,565.84
  4. Step 4: Simplify right side
    102,681.06x = 5,016,021,242.95
  5. Step 5: Solve for x
    x = 5,016,021,242.95/102,681.06
  6. Step 6: Final answer
    x = 48,850.50

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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.