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Finding the Fourth Proportional to 83,192.34, 114,809.73 and 45,466.74

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Solution

The fourth proportional to 83,192.34, 114,809.73 and 45,466.74 is: 62,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,192.34 : 114,809.73 = 45,466.74 : x
  2. Step 2: Convert to fraction form
    83,192.34/114,809.73 = 45,466.74/x
  3. Step 3: Cross multiply
    83,192.34x = 114,809.73 × 45,466.74
  4. Step 4: Simplify right side
    83,192.34x = 5,220,024,143.38
  5. Step 5: Solve for x
    x = 5,220,024,143.38/83,192.34
  6. Step 6: Final answer
    x = 62,746.45

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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.