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Finding the Fourth Proportional to 101,928.84, 152,894.88 and 38,749.92

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Solution

The fourth proportional to 101,928.84, 152,894.88 and 38,749.92 is: 58,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928.84 : 152,894.88 = 38,749.92 : x
  2. Step 2: Convert to fraction form
    101,928.84/152,894.88 = 38,749.92/x
  3. Step 3: Cross multiply
    101,928.84x = 152,894.88 × 38,749.92
  4. Step 4: Simplify right side
    101,928.84x = 5,924,664,368.41
  5. Step 5: Solve for x
    x = 5,924,664,368.41/101,928.84
  6. Step 6: Final answer
    x = 58,125.50

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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.