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Finding the Fourth Proportional to 34,645.12, 51,983.04 and 12,752

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Solution

The fourth proportional to 34,645.12, 51,983.04 and 12,752 is: 19,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,645.12 : 51,983.04 = 12,752 : x
  2. Step 2: Convert to fraction form
    34,645.12/51,983.04 = 12,752/x
  3. Step 3: Cross multiply
    34,645.12x = 51,983.04 × 12,752
  4. Step 4: Simplify right side
    34,645.12x = 662,887,726.08
  5. Step 5: Solve for x
    x = 662,887,726.08/34,645.12
  6. Step 6: Final answer
    x = 19,133.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.