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Finding the Fourth Proportional to 32,665.95, 48,999.06 and 9,292.59

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Solution

The fourth proportional to 32,665.95, 48,999.06 and 9,292.59 is: 13,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.95 : 48,999.06 = 9,292.59 : x
  2. Step 2: Convert to fraction form
    32,665.95/48,999.06 = 9,292.59/x
  3. Step 3: Cross multiply
    32,665.95x = 48,999.06 × 9,292.59
  4. Step 4: Simplify right side
    32,665.95x = 455,328,174.97
  5. Step 5: Solve for x
    x = 455,328,174.97/32,665.95
  6. Step 6: Final answer
    x = 13,938.92

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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.