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Finding the Fourth Proportional to 78,478.08, 117,601.33 and 46,424

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Solution

The fourth proportional to 78,478.08, 117,601.33 and 46,424 is: 69,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.08 : 117,601.33 = 46,424 : x
  2. Step 2: Convert to fraction form
    78,478.08/117,601.33 = 46,424/x
  3. Step 3: Cross multiply
    78,478.08x = 117,601.33 × 46,424
  4. Step 4: Simplify right side
    78,478.08x = 5,459,524,143.92
  5. Step 5: Solve for x
    x = 5,459,524,143.92/78,478.08
  6. Step 6: Final answer
    x = 69,567.50

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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.