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Finding the Fourth Proportional to 46,624, 69,947.07 and 15,459.25

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Solution

The fourth proportional to 46,624, 69,947.07 and 15,459.25 is: 23,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,624 : 69,947.07 = 15,459.25 : x
  2. Step 2: Convert to fraction form
    46,624/69,947.07 = 15,459.25/x
  3. Step 3: Cross multiply
    46,624x = 69,947.07 × 15,459.25
  4. Step 4: Simplify right side
    46,624x = 1,081,329,241.90
  5. Step 5: Solve for x
    x = 1,081,329,241.90/46,624
  6. Step 6: Final answer
    x = 23,192.55

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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.