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Finding the Fourth Proportional to 31,482.41, 47,228.73 and 9,298.02

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Solution

The fourth proportional to 31,482.41, 47,228.73 and 9,298.02 is: 13,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.41 : 47,228.73 = 9,298.02 : x
  2. Step 2: Convert to fraction form
    31,482.41/47,228.73 = 9,298.02/x
  3. Step 3: Cross multiply
    31,482.41x = 47,228.73 × 9,298.02
  4. Step 4: Simplify right side
    31,482.41x = 439,133,676.11
  5. Step 5: Solve for x
    x = 439,133,676.11/31,482.41
  6. Step 6: Final answer
    x = 13,948.54

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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.