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Finding the Fourth Proportional to 46,339.71, 69,484.65 and 14,741.20

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Solution

The fourth proportional to 46,339.71, 69,484.65 and 14,741.20 is: 22,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,339.71 : 69,484.65 = 14,741.20 : x
  2. Step 2: Convert to fraction form
    46,339.71/69,484.65 = 14,741.20/x
  3. Step 3: Cross multiply
    46,339.71x = 69,484.65 × 14,741.20
  4. Step 4: Simplify right side
    46,339.71x = 1,024,287,122.58
  5. Step 5: Solve for x
    x = 1,024,287,122.58/46,339.71
  6. Step 6: Final answer
    x = 22,103.87

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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.