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Finding the Fourth Proportional to 131,076, 196,614.72 and 32,580

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Solution

The fourth proportional to 131,076, 196,614.72 and 32,580 is: 48,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,076 : 196,614.72 = 32,580 : x
  2. Step 2: Convert to fraction form
    131,076/196,614.72 = 32,580/x
  3. Step 3: Cross multiply
    131,076x = 196,614.72 × 32,580
  4. Step 4: Simplify right side
    131,076x = 6,405,707,577.60
  5. Step 5: Solve for x
    x = 6,405,707,577.60/131,076
  6. Step 6: Final answer
    x = 48,870.18

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