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Finding the Fourth Proportional to 32,495.74, 48,744.40 and 15,853.48

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Solution

The fourth proportional to 32,495.74, 48,744.40 and 15,853.48 is: 23,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.74 : 48,744.40 = 15,853.48 : x
  2. Step 2: Convert to fraction form
    32,495.74/48,744.40 = 15,853.48/x
  3. Step 3: Cross multiply
    32,495.74x = 48,744.40 × 15,853.48
  4. Step 4: Simplify right side
    32,495.74x = 772,768,370.51
  5. Step 5: Solve for x
    x = 772,768,370.51/32,495.74
  6. Step 6: Final answer
    x = 23,780.61

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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.