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Finding the Fourth Proportional to 75,326.48, 112,948.71 and 48,668.77

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Solution

The fourth proportional to 75,326.48, 112,948.71 and 48,668.77 is: 72,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,326.48 : 112,948.71 = 48,668.77 : x
  2. Step 2: Convert to fraction form
    75,326.48/112,948.71 = 48,668.77/x
  3. Step 3: Cross multiply
    75,326.48x = 112,948.71 × 48,668.77
  4. Step 4: Simplify right side
    75,326.48x = 5,497,074,788.79
  5. Step 5: Solve for x
    x = 5,497,074,788.79/75,326.48
  6. Step 6: Final answer
    x = 72,976.66

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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.