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Finding the Fourth Proportional to 46,205.79, 63,763.94 and 24,985

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Solution

The fourth proportional to 46,205.79, 63,763.94 and 24,985 is: 34,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205.79 : 63,763.94 = 24,985 : x
  2. Step 2: Convert to fraction form
    46,205.79/63,763.94 = 24,985/x
  3. Step 3: Cross multiply
    46,205.79x = 63,763.94 × 24,985
  4. Step 4: Simplify right side
    46,205.79x = 1,593,142,040.90
  5. Step 5: Solve for x
    x = 1,593,142,040.90/46,205.79
  6. Step 6: Final answer
    x = 34,479.27

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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.