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Finding the Fourth Proportional to 37,925.50, 56,888.25 and 10,223.50

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Solution

The fourth proportional to 37,925.50, 56,888.25 and 10,223.50 is: 15,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,925.50 : 56,888.25 = 10,223.50 : x
  2. Step 2: Convert to fraction form
    37,925.50/56,888.25 = 10,223.50/x
  3. Step 3: Cross multiply
    37,925.50x = 56,888.25 × 10,223.50
  4. Step 4: Simplify right side
    37,925.50x = 581,597,023.88
  5. Step 5: Solve for x
    x = 581,597,023.88/37,925.50
  6. Step 6: Final answer
    x = 15,335.25

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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.