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Finding the Fourth Proportional to 32,460.75, 48,686.25 and 10,271.25

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Solution

The fourth proportional to 32,460.75, 48,686.25 and 10,271.25 is: 15,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.75 : 48,686.25 = 10,271.25 : x
  2. Step 2: Convert to fraction form
    32,460.75/48,686.25 = 10,271.25/x
  3. Step 3: Cross multiply
    32,460.75x = 48,686.25 × 10,271.25
  4. Step 4: Simplify right side
    32,460.75x = 500,068,645.31
  5. Step 5: Solve for x
    x = 500,068,645.31/32,460.75
  6. Step 6: Final answer
    x = 15,405.33

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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.