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Finding the Fourth Proportional to 57,382.60, 86,070.56 and 25,784.50

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Solution

The fourth proportional to 57,382.60, 86,070.56 and 25,784.50 is: 38,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382.60 : 86,070.56 = 25,784.50 : x
  2. Step 2: Convert to fraction form
    57,382.60/86,070.56 = 25,784.50/x
  3. Step 3: Cross multiply
    57,382.60x = 86,070.56 × 25,784.50
  4. Step 4: Simplify right side
    57,382.60x = 2,219,286,354.32
  5. Step 5: Solve for x
    x = 2,219,286,354.32/57,382.60
  6. Step 6: Final answer
    x = 38,675.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.