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Finding the Fourth Proportional to 46,386, 69,590.52 and 13,554

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Solution

The fourth proportional to 46,386, 69,590.52 and 13,554 is: 20,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386 : 69,590.52 = 13,554 : x
  2. Step 2: Convert to fraction form
    46,386/69,590.52 = 13,554/x
  3. Step 3: Cross multiply
    46,386x = 69,590.52 × 13,554
  4. Step 4: Simplify right side
    46,386x = 943,229,908.08
  5. Step 5: Solve for x
    x = 943,229,908.08/46,386
  6. Step 6: Final answer
    x = 20,334.37

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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.