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Finding the Fourth Proportional to 38,830.61, 53,594.93 and 25,378.74

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Solution

The fourth proportional to 38,830.61, 53,594.93 and 25,378.74 is: 35,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830.61 : 53,594.93 = 25,378.74 : x
  2. Step 2: Convert to fraction form
    38,830.61/53,594.93 = 25,378.74/x
  3. Step 3: Cross multiply
    38,830.61x = 53,594.93 × 25,378.74
  4. Step 4: Simplify right side
    38,830.61x = 1,360,171,857.24
  5. Step 5: Solve for x
    x = 1,360,171,857.24/38,830.61
  6. Step 6: Final answer
    x = 35,028.34

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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.