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Finding the Fourth Proportional to 48,973, 67,582.74 and 29,101

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Solution

The fourth proportional to 48,973, 67,582.74 and 29,101 is: 40,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973 : 67,582.74 = 29,101 : x
  2. Step 2: Convert to fraction form
    48,973/67,582.74 = 29,101/x
  3. Step 3: Cross multiply
    48,973x = 67,582.74 × 29,101
  4. Step 4: Simplify right side
    48,973x = 1,966,725,316.74
  5. Step 5: Solve for x
    x = 1,966,725,316.74/48,973
  6. Step 6: Final answer
    x = 40,159.38

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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.