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Finding the Fourth Proportional to 34,567.84, 51,868.69 and 12,382.93

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Solution

The fourth proportional to 34,567.84, 51,868.69 and 12,382.93 is: 18,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,567.84 : 51,868.69 = 12,382.93 : x
  2. Step 2: Convert to fraction form
    34,567.84/51,868.69 = 12,382.93/x
  3. Step 3: Cross multiply
    34,567.84x = 51,868.69 × 12,382.93
  4. Step 4: Simplify right side
    34,567.84x = 642,286,357.46
  5. Step 5: Solve for x
    x = 642,286,357.46/34,567.84
  6. Step 6: Final answer
    x = 18,580.46

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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.