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Finding the Fourth Proportional to 77,058.98, 115,610.61 and 32,071.58

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Solution

The fourth proportional to 77,058.98, 115,610.61 and 32,071.58 is: 48,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.98 : 115,610.61 = 32,071.58 : x
  2. Step 2: Convert to fraction form
    77,058.98/115,610.61 = 32,071.58/x
  3. Step 3: Cross multiply
    77,058.98x = 115,610.61 × 32,071.58
  4. Step 4: Simplify right side
    77,058.98x = 3,707,814,927.46
  5. Step 5: Solve for x
    x = 3,707,814,927.46/77,058.98
  6. Step 6: Final answer
    x = 48,116.58

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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.