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Finding the Fourth Proportional to 88,970, 122,782.44 and 49,226

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Solution

The fourth proportional to 88,970, 122,782.44 and 49,226 is: 67,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,970 : 122,782.44 = 49,226 : x
  2. Step 2: Convert to fraction form
    88,970/122,782.44 = 49,226/x
  3. Step 3: Cross multiply
    88,970x = 122,782.44 × 49,226
  4. Step 4: Simplify right side
    88,970x = 6,044,088,391.44
  5. Step 5: Solve for x
    x = 6,044,088,391.44/88,970
  6. Step 6: Final answer
    x = 67,934.00

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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.