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Finding the Fourth Proportional to 58,881.78, 88,262.28 and 30,786.90

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Solution

The fourth proportional to 58,881.78, 88,262.28 and 30,786.90 is: 46,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,881.78 : 88,262.28 = 30,786.90 : x
  2. Step 2: Convert to fraction form
    58,881.78/88,262.28 = 30,786.90/x
  3. Step 3: Cross multiply
    58,881.78x = 88,262.28 × 30,786.90
  4. Step 4: Simplify right side
    58,881.78x = 2,717,321,988.13
  5. Step 5: Solve for x
    x = 2,717,321,988.13/58,881.78
  6. Step 6: Final answer
    x = 46,148.77

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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.