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Finding the Fourth Proportional to 46,500.75, 69,751.17 and 15,336

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Solution

The fourth proportional to 46,500.75, 69,751.17 and 15,336 is: 23,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500.75 : 69,751.17 = 15,336 : x
  2. Step 2: Convert to fraction form
    46,500.75/69,751.17 = 15,336/x
  3. Step 3: Cross multiply
    46,500.75x = 69,751.17 × 15,336
  4. Step 4: Simplify right side
    46,500.75x = 1,069,703,943.12
  5. Step 5: Solve for x
    x = 1,069,703,943.12/46,500.75
  6. Step 6: Final answer
    x = 23,004.01

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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.