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Finding the Fourth Proportional to 46,602.61, 69,915 and 15,015.66

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Solution

The fourth proportional to 46,602.61, 69,915 and 15,015.66 is: 22,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602.61 : 69,915 = 15,015.66 : x
  2. Step 2: Convert to fraction form
    46,602.61/69,915 = 15,015.66/x
  3. Step 3: Cross multiply
    46,602.61x = 69,915 × 15,015.66
  4. Step 4: Simplify right side
    46,602.61x = 1,049,819,868.90
  5. Step 5: Solve for x
    x = 1,049,819,868.90/46,602.61
  6. Step 6: Final answer
    x = 22,527.06

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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.