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Finding the Fourth Proportional to 90,271.68, 135,412.20 and 23,712

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Solution

The fourth proportional to 90,271.68, 135,412.20 and 23,712 is: 35,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,271.68 : 135,412.20 = 23,712 : x
  2. Step 2: Convert to fraction form
    90,271.68/135,412.20 = 23,712/x
  3. Step 3: Cross multiply
    90,271.68x = 135,412.20 × 23,712
  4. Step 4: Simplify right side
    90,271.68x = 3,210,894,086.40
  5. Step 5: Solve for x
    x = 3,210,894,086.40/90,271.68
  6. Step 6: Final answer
    x = 35,569.23

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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.