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Finding the Fourth Proportional to 32,413, 48,619.52 and 10,525

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Solution

The fourth proportional to 32,413, 48,619.52 and 10,525 is: 15,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413 : 48,619.52 = 10,525 : x
  2. Step 2: Convert to fraction form
    32,413/48,619.52 = 10,525/x
  3. Step 3: Cross multiply
    32,413x = 48,619.52 × 10,525
  4. Step 4: Simplify right side
    32,413x = 511,720,448.00
  5. Step 5: Solve for x
    x = 511,720,448.00/32,413
  6. Step 6: Final answer
    x = 15,787.51

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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.