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Finding the Fourth Proportional to 28,201.60, 42,302.40 and 25,782.40

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Solution

The fourth proportional to 28,201.60, 42,302.40 and 25,782.40 is: 38,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,201.60 : 42,302.40 = 25,782.40 : x
  2. Step 2: Convert to fraction form
    28,201.60/42,302.40 = 25,782.40/x
  3. Step 3: Cross multiply
    28,201.60x = 42,302.40 × 25,782.40
  4. Step 4: Simplify right side
    28,201.60x = 1,090,657,397.76
  5. Step 5: Solve for x
    x = 1,090,657,397.76/28,201.60
  6. Step 6: Final answer
    x = 38,673.60

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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.