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Finding the Fourth Proportional to 32,411.60, 48,541.88 and 31,289.14

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Solution

The fourth proportional to 32,411.60, 48,541.88 and 31,289.14 is: 46,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.60 : 48,541.88 = 31,289.14 : x
  2. Step 2: Convert to fraction form
    32,411.60/48,541.88 = 31,289.14/x
  3. Step 3: Cross multiply
    32,411.60x = 48,541.88 × 31,289.14
  4. Step 4: Simplify right side
    32,411.60x = 1,518,833,679.18
  5. Step 5: Solve for x
    x = 1,518,833,679.18/32,411.60
  6. Step 6: Final answer
    x = 46,860.81

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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.