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Finding the Fourth Proportional to 32,087.31, 48,113.35 and 9,894.53

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Solution

The fourth proportional to 32,087.31, 48,113.35 and 9,894.53 is: 14,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.31 : 48,113.35 = 9,894.53 : x
  2. Step 2: Convert to fraction form
    32,087.31/48,113.35 = 9,894.53/x
  3. Step 3: Cross multiply
    32,087.31x = 48,113.35 × 9,894.53
  4. Step 4: Simplify right side
    32,087.31x = 476,058,719.67
  5. Step 5: Solve for x
    x = 476,058,719.67/32,087.31
  6. Step 6: Final answer
    x = 14,836.35

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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.