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Finding the Fourth Proportional to 46,143.90, 63,678.60 and 24,923.16

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Solution

The fourth proportional to 46,143.90, 63,678.60 and 24,923.16 is: 34,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,143.90 : 63,678.60 = 24,923.16 : x
  2. Step 2: Convert to fraction form
    46,143.90/63,678.60 = 24,923.16/x
  3. Step 3: Cross multiply
    46,143.90x = 63,678.60 × 24,923.16
  4. Step 4: Simplify right side
    46,143.90x = 1,587,071,936.38
  5. Step 5: Solve for x
    x = 1,587,071,936.38/46,143.90
  6. Step 6: Final answer
    x = 34,393.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.