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Finding the Fourth Proportional to 83,323.76, 114,986.78 and 45,598

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Solution

The fourth proportional to 83,323.76, 114,986.78 and 45,598 is: 62,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.76 : 114,986.78 = 45,598 : x
  2. Step 2: Convert to fraction form
    83,323.76/114,986.78 = 45,598/x
  3. Step 3: Cross multiply
    83,323.76x = 114,986.78 × 45,598
  4. Step 4: Simplify right side
    83,323.76x = 5,243,167,194.44
  5. Step 5: Solve for x
    x = 5,243,167,194.44/83,323.76
  6. Step 6: Final answer
    x = 62,925.24

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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.