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Finding the Fourth Proportional to 83,148, 114,746.76 and 45,424.68

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Solution

The fourth proportional to 83,148, 114,746.76 and 45,424.68 is: 62,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148 : 114,746.76 = 45,424.68 : x
  2. Step 2: Convert to fraction form
    83,148/114,746.76 = 45,424.68/x
  3. Step 3: Cross multiply
    83,148x = 114,746.76 × 45,424.68
  4. Step 4: Simplify right side
    83,148x = 5,212,334,854.04
  5. Step 5: Solve for x
    x = 5,212,334,854.04/83,148
  6. Step 6: Final answer
    x = 62,687.44

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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.