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Finding the Fourth Proportional to 83,574.73, 115,326.21 and 45,848.98

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Solution

The fourth proportional to 83,574.73, 115,326.21 and 45,848.98 is: 63,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.73 : 115,326.21 = 45,848.98 : x
  2. Step 2: Convert to fraction form
    83,574.73/115,326.21 = 45,848.98/x
  3. Step 3: Cross multiply
    83,574.73x = 115,326.21 × 45,848.98
  4. Step 4: Simplify right side
    83,574.73x = 5,287,589,095.77
  5. Step 5: Solve for x
    x = 5,287,589,095.77/83,574.73
  6. Step 6: Final answer
    x = 63,267.80

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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.