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Finding the Fourth Proportional to 32,331.60, 44,646.93 and 24,360

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Solution

The fourth proportional to 32,331.60, 44,646.93 and 24,360 is: 33,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331.60 : 44,646.93 = 24,360 : x
  2. Step 2: Convert to fraction form
    32,331.60/44,646.93 = 24,360/x
  3. Step 3: Cross multiply
    32,331.60x = 44,646.93 × 24,360
  4. Step 4: Simplify right side
    32,331.60x = 1,087,599,214.80
  5. Step 5: Solve for x
    x = 1,087,599,214.80/32,331.60
  6. Step 6: Final answer
    x = 33,638.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.