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Finding the Fourth Proportional to 32,583.74, 44,967.04 and 25,497.86

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Solution

The fourth proportional to 32,583.74, 44,967.04 and 25,497.86 is: 35,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.74 : 44,967.04 = 25,497.86 : x
  2. Step 2: Convert to fraction form
    32,583.74/44,967.04 = 25,497.86/x
  3. Step 3: Cross multiply
    32,583.74x = 44,967.04 × 25,497.86
  4. Step 4: Simplify right side
    32,583.74x = 1,146,563,001.95
  5. Step 5: Solve for x
    x = 1,146,563,001.95/32,583.74
  6. Step 6: Final answer
    x = 35,188.20

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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.