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Finding the Fourth Proportional to 46,633.96, 69,929.25 and 15,038.11

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Solution

The fourth proportional to 46,633.96, 69,929.25 and 15,038.11 is: 22,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633.96 : 69,929.25 = 15,038.11 : x
  2. Step 2: Convert to fraction form
    46,633.96/69,929.25 = 15,038.11/x
  3. Step 3: Cross multiply
    46,633.96x = 69,929.25 × 15,038.11
  4. Step 4: Simplify right side
    46,633.96x = 1,051,603,753.72
  5. Step 5: Solve for x
    x = 1,051,603,753.72/46,633.96
  6. Step 6: Final answer
    x = 22,550.17

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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.