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Finding the Fourth Proportional to 38,462.95, 53,037.03 and 25,009.26

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Solution

The fourth proportional to 38,462.95, 53,037.03 and 25,009.26 is: 34,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.95 : 53,037.03 = 25,009.26 : x
  2. Step 2: Convert to fraction form
    38,462.95/53,037.03 = 25,009.26/x
  3. Step 3: Cross multiply
    38,462.95x = 53,037.03 × 25,009.26
  4. Step 4: Simplify right side
    38,462.95x = 1,326,416,627.12
  5. Step 5: Solve for x
    x = 1,326,416,627.12/38,462.95
  6. Step 6: Final answer
    x = 34,485.57

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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.