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Finding the Fourth Proportional to 46,176, 69,275.52 and 13,344

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Solution

The fourth proportional to 46,176, 69,275.52 and 13,344 is: 20,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 69,275.52 = 13,344 : x
  2. Step 2: Convert to fraction form
    46,176/69,275.52 = 13,344/x
  3. Step 3: Cross multiply
    46,176x = 69,275.52 × 13,344
  4. Step 4: Simplify right side
    46,176x = 924,412,538.88
  5. Step 5: Solve for x
    x = 924,412,538.88/46,176
  6. Step 6: Final answer
    x = 20,019.33

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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.