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Finding the Fourth Proportional to 32,122.95, 48,114.25 and 13,346.06

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Solution

The fourth proportional to 32,122.95, 48,114.25 and 13,346.06 is: 19,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.95 : 48,114.25 = 13,346.06 : x
  2. Step 2: Convert to fraction form
    32,122.95/48,114.25 = 13,346.06/x
  3. Step 3: Cross multiply
    32,122.95x = 48,114.25 × 13,346.06
  4. Step 4: Simplify right side
    32,122.95x = 642,135,667.36
  5. Step 5: Solve for x
    x = 642,135,667.36/32,122.95
  6. Step 6: Final answer
    x = 19,989.93

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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.