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Finding the Fourth Proportional to 74,971.76, 112,420.92 and 25,034.72

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Solution

The fourth proportional to 74,971.76, 112,420.92 and 25,034.72 is: 37,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,971.76 : 112,420.92 = 25,034.72 : x
  2. Step 2: Convert to fraction form
    74,971.76/112,420.92 = 25,034.72/x
  3. Step 3: Cross multiply
    74,971.76x = 112,420.92 × 25,034.72
  4. Step 4: Simplify right side
    74,971.76x = 2,814,426,254.34
  5. Step 5: Solve for x
    x = 2,814,426,254.34/74,971.76
  6. Step 6: Final answer
    x = 37,539.82

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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.