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Finding the Fourth Proportional to 32,427.80, 48,641.70 and 31,045.40

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Solution

The fourth proportional to 32,427.80, 48,641.70 and 31,045.40 is: 46,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.80 : 48,641.70 = 31,045.40 : x
  2. Step 2: Convert to fraction form
    32,427.80/48,641.70 = 31,045.40/x
  3. Step 3: Cross multiply
    32,427.80x = 48,641.70 × 31,045.40
  4. Step 4: Simplify right side
    32,427.80x = 1,510,101,033.18
  5. Step 5: Solve for x
    x = 1,510,101,033.18/32,427.80
  6. Step 6: Final answer
    x = 46,568.10

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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.