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Finding the Fourth Proportional to 46,194.74, 63,748.73 and 24,974

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Solution

The fourth proportional to 46,194.74, 63,748.73 and 24,974 is: 34,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194.74 : 63,748.73 = 24,974 : x
  2. Step 2: Convert to fraction form
    46,194.74/63,748.73 = 24,974/x
  3. Step 3: Cross multiply
    46,194.74x = 63,748.73 × 24,974
  4. Step 4: Simplify right side
    46,194.74x = 1,592,060,658.15
  5. Step 5: Solve for x
    x = 1,592,060,658.15/46,194.74
  6. Step 6: Final answer
    x = 34,464.11

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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.