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Finding the Fourth Proportional to 48,773, 67,306.74 and 26,417

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Solution

The fourth proportional to 48,773, 67,306.74 and 26,417 is: 36,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773 : 67,306.74 = 26,417 : x
  2. Step 2: Convert to fraction form
    48,773/67,306.74 = 26,417/x
  3. Step 3: Cross multiply
    48,773x = 67,306.74 × 26,417
  4. Step 4: Simplify right side
    48,773x = 1,778,042,150.58
  5. Step 5: Solve for x
    x = 1,778,042,150.58/48,773
  6. Step 6: Final answer
    x = 36,455.46

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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.