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Finding the Fourth Proportional to 38,597.64, 53,266.26 and 25,177.80

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Solution

The fourth proportional to 38,597.64, 53,266.26 and 25,177.80 is: 34,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.64 : 53,266.26 = 25,177.80 : x
  2. Step 2: Convert to fraction form
    38,597.64/53,266.26 = 25,177.80/x
  3. Step 3: Cross multiply
    38,597.64x = 53,266.26 × 25,177.80
  4. Step 4: Simplify right side
    38,597.64x = 1,341,127,241.03
  5. Step 5: Solve for x
    x = 1,341,127,241.03/38,597.64
  6. Step 6: Final answer
    x = 34,746.35

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Why These Related Problems?

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