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Finding the Fourth Proportional to 32,038.32, 48,066.25 and 15,412.26

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Solution

The fourth proportional to 32,038.32, 48,066.25 and 15,412.26 is: 23,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.32 : 48,066.25 = 15,412.26 : x
  2. Step 2: Convert to fraction form
    32,038.32/48,066.25 = 15,412.26/x
  3. Step 3: Cross multiply
    32,038.32x = 48,066.25 × 15,412.26
  4. Step 4: Simplify right side
    32,038.32x = 740,809,542.23
  5. Step 5: Solve for x
    x = 740,809,542.23/32,038.32
  6. Step 6: Final answer
    x = 23,122.61

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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.