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Finding the Fourth Proportional to 31,838.90, 47,809.35 and 25,319.30

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Solution

The fourth proportional to 31,838.90, 47,809.35 and 25,319.30 is: 38,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.90 : 47,809.35 = 25,319.30 : x
  2. Step 2: Convert to fraction form
    31,838.90/47,809.35 = 25,319.30/x
  3. Step 3: Cross multiply
    31,838.90x = 47,809.35 × 25,319.30
  4. Step 4: Simplify right side
    31,838.90x = 1,210,499,275.46
  5. Step 5: Solve for x
    x = 1,210,499,275.46/31,838.90
  6. Step 6: Final answer
    x = 38,019.51

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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.