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Finding the Fourth Proportional to 67,828.34, 101,672.64 and 45,648.06

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Solution

The fourth proportional to 67,828.34, 101,672.64 and 45,648.06 is: 68,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828.34 : 101,672.64 = 45,648.06 : x
  2. Step 2: Convert to fraction form
    67,828.34/101,672.64 = 45,648.06/x
  3. Step 3: Cross multiply
    67,828.34x = 101,672.64 × 45,648.06
  4. Step 4: Simplify right side
    67,828.34x = 4,641,158,518.19
  5. Step 5: Solve for x
    x = 4,641,158,518.19/67,828.34
  6. Step 6: Final answer
    x = 68,425.07

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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.