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Finding the Fourth Proportional to 127,928.68, 191,893.02 and 34,432

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Solution

The fourth proportional to 127,928.68, 191,893.02 and 34,432 is: 51,648

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,928.68 : 191,893.02 = 34,432 : x
  2. Step 2: Convert to fraction form
    127,928.68/191,893.02 = 34,432/x
  3. Step 3: Cross multiply
    127,928.68x = 191,893.02 × 34,432
  4. Step 4: Simplify right side
    127,928.68x = 6,607,260,464.64
  5. Step 5: Solve for x
    x = 6,607,260,464.64/127,928.68
  6. Step 6: Final answer
    x = 51,648

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.