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Finding the Fourth Proportional to 90,291.95, 135,364 and 34,100.16

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Solution

The fourth proportional to 90,291.95, 135,364 and 34,100.16 is: 51,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,291.95 : 135,364 = 34,100.16 : x
  2. Step 2: Convert to fraction form
    90,291.95/135,364 = 34,100.16/x
  3. Step 3: Cross multiply
    90,291.95x = 135,364 × 34,100.16
  4. Step 4: Simplify right side
    90,291.95x = 4,615,934,058.24
  5. Step 5: Solve for x
    x = 4,615,934,058.24/90,291.95
  6. Step 6: Final answer
    x = 51,122.32

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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.