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Finding the Fourth Proportional to 43,801.60, 65,702.40 and 30,438.40

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Solution

The fourth proportional to 43,801.60, 65,702.40 and 30,438.40 is: 45,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801.60 : 65,702.40 = 30,438.40 : x
  2. Step 2: Convert to fraction form
    43,801.60/65,702.40 = 30,438.40/x
  3. Step 3: Cross multiply
    43,801.60x = 65,702.40 × 30,438.40
  4. Step 4: Simplify right side
    43,801.60x = 1,999,875,932.16
  5. Step 5: Solve for x
    x = 1,999,875,932.16/43,801.60
  6. Step 6: Final answer
    x = 45,657.60

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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.