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Finding the Fourth Proportional to 78,246.52, 107,994 and 46,432.96

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Solution

The fourth proportional to 78,246.52, 107,994 and 46,432.96 is: 64,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246.52 : 107,994 = 46,432.96 : x
  2. Step 2: Convert to fraction form
    78,246.52/107,994 = 46,432.96/x
  3. Step 3: Cross multiply
    78,246.52x = 107,994 × 46,432.96
  4. Step 4: Simplify right side
    78,246.52x = 5,014,481,082.24
  5. Step 5: Solve for x
    x = 5,014,481,082.24/78,246.52
  6. Step 6: Final answer
    x = 64,085.68

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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.