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Finding the Fourth Proportional to 97,141.68, 145,838.88 and 50,427.36

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Solution

The fourth proportional to 97,141.68, 145,838.88 and 50,427.36 is: 75,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.68 : 145,838.88 = 50,427.36 : x
  2. Step 2: Convert to fraction form
    97,141.68/145,838.88 = 50,427.36/x
  3. Step 3: Cross multiply
    97,141.68x = 145,838.88 × 50,427.36
  4. Step 4: Simplify right side
    97,141.68x = 7,354,269,703.76
  5. Step 5: Solve for x
    x = 7,354,269,703.76/97,141.68
  6. Step 6: Final answer
    x = 75,706.63

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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.