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Finding the Fourth Proportional to 77,076, 106,364.88 and 41,748

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Solution

The fourth proportional to 77,076, 106,364.88 and 41,748 is: 57,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076 : 106,364.88 = 41,748 : x
  2. Step 2: Convert to fraction form
    77,076/106,364.88 = 41,748/x
  3. Step 3: Cross multiply
    77,076x = 106,364.88 × 41,748
  4. Step 4: Simplify right side
    77,076x = 4,440,521,010.24
  5. Step 5: Solve for x
    x = 4,440,521,010.24/77,076
  6. Step 6: Final answer
    x = 57,612.24

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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.