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Finding the Fourth Proportional to 38,125, 57,187.50 and 10,423

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Solution

The fourth proportional to 38,125, 57,187.50 and 10,423 is: 15,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125 : 57,187.50 = 10,423 : x
  2. Step 2: Convert to fraction form
    38,125/57,187.50 = 10,423/x
  3. Step 3: Cross multiply
    38,125x = 57,187.50 × 10,423
  4. Step 4: Simplify right side
    38,125x = 596,065,312.50
  5. Step 5: Solve for x
    x = 596,065,312.50/38,125
  6. Step 6: Final answer
    x = 15,634.50

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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.