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Finding the Fourth Proportional to 31,482.30, 47,212.40 and 9,289.76

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Solution

The fourth proportional to 31,482.30, 47,212.40 and 9,289.76 is: 13,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.30 : 47,212.40 = 9,289.76 : x
  2. Step 2: Convert to fraction form
    31,482.30/47,212.40 = 9,289.76/x
  3. Step 3: Cross multiply
    31,482.30x = 47,212.40 × 9,289.76
  4. Step 4: Simplify right side
    31,482.30x = 438,591,865.02
  5. Step 5: Solve for x
    x = 438,591,865.02/31,482.30
  6. Step 6: Final answer
    x = 13,931.38

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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.