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Finding the Fourth Proportional to 30,566.84, 45,854.37 and 13,040.77

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Solution

The fourth proportional to 30,566.84, 45,854.37 and 13,040.77 is: 19,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.84 : 45,854.37 = 13,040.77 : x
  2. Step 2: Convert to fraction form
    30,566.84/45,854.37 = 13,040.77/x
  3. Step 3: Cross multiply
    30,566.84x = 45,854.37 × 13,040.77
  4. Step 4: Simplify right side
    30,566.84x = 597,976,292.66
  5. Step 5: Solve for x
    x = 597,976,292.66/30,566.84
  6. Step 6: Final answer
    x = 19,562.91

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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.