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Finding the Fourth Proportional to 97,125.95, 145,701.68 and 33,947.16

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Solution

The fourth proportional to 97,125.95, 145,701.68 and 33,947.16 is: 50,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,125.95 : 145,701.68 = 33,947.16 : x
  2. Step 2: Convert to fraction form
    97,125.95/145,701.68 = 33,947.16/x
  3. Step 3: Cross multiply
    97,125.95x = 145,701.68 × 33,947.16
  4. Step 4: Simplify right side
    97,125.95x = 4,946,158,073.49
  5. Step 5: Solve for x
    x = 4,946,158,073.49/97,125.95
  6. Step 6: Final answer
    x = 50,925.20

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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.