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Finding the Fourth Proportional to 58,710, 80,966.34 and 49,654.33

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Solution

The fourth proportional to 58,710, 80,966.34 and 49,654.33 is: 68,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,710 : 80,966.34 = 49,654.33 : x
  2. Step 2: Convert to fraction form
    58,710/80,966.34 = 49,654.33/x
  3. Step 3: Cross multiply
    58,710x = 80,966.34 × 49,654.33
  4. Step 4: Simplify right side
    58,710x = 4,020,329,365.25
  5. Step 5: Solve for x
    x = 4,020,329,365.25/58,710
  6. Step 6: Final answer
    x = 68,477.76

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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.