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Finding the Fourth Proportional to 101,102.87, 151,641.09 and 30,024.06

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Solution

The fourth proportional to 101,102.87, 151,641.09 and 30,024.06 is: 45,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102.87 : 151,641.09 = 30,024.06 : x
  2. Step 2: Convert to fraction form
    101,102.87/151,641.09 = 30,024.06/x
  3. Step 3: Cross multiply
    101,102.87x = 151,641.09 × 30,024.06
  4. Step 4: Simplify right side
    101,102.87x = 4,552,880,426.42
  5. Step 5: Solve for x
    x = 4,552,880,426.42/101,102.87
  6. Step 6: Final answer
    x = 45,032.16

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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.