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Finding the Fourth Proportional to 48,773, 67,301.34 and 27,547.76

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Solution

The fourth proportional to 48,773, 67,301.34 and 27,547.76 is: 38,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773 : 67,301.34 = 27,547.76 : x
  2. Step 2: Convert to fraction form
    48,773/67,301.34 = 27,547.76/x
  3. Step 3: Cross multiply
    48,773x = 67,301.34 × 27,547.76
  4. Step 4: Simplify right side
    48,773x = 1,854,001,162.00
  5. Step 5: Solve for x
    x = 1,854,001,162.00/48,773
  6. Step 6: Final answer
    x = 38,012.86

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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.