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Finding the Fourth Proportional to 32,314.60, 48,356.70 and 22,407.40

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Solution

The fourth proportional to 32,314.60, 48,356.70 and 22,407.40 is: 33,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.60 : 48,356.70 = 22,407.40 : x
  2. Step 2: Convert to fraction form
    32,314.60/48,356.70 = 22,407.40/x
  3. Step 3: Cross multiply
    32,314.60x = 48,356.70 × 22,407.40
  4. Step 4: Simplify right side
    32,314.60x = 1,083,547,919.58
  5. Step 5: Solve for x
    x = 1,083,547,919.58/32,314.60
  6. Step 6: Final answer
    x = 33,531.22

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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.