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Finding the Fourth Proportional to 83,263, 114,903.03 and 45,537.34

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Solution

The fourth proportional to 83,263, 114,903.03 and 45,537.34 is: 62,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,263 : 114,903.03 = 45,537.34 : x
  2. Step 2: Convert to fraction form
    83,263/114,903.03 = 45,537.34/x
  3. Step 3: Cross multiply
    83,263x = 114,903.03 × 45,537.34
  4. Step 4: Simplify right side
    83,263x = 5,232,378,344.14
  5. Step 5: Solve for x
    x = 5,232,378,344.14/83,263
  6. Step 6: Final answer
    x = 62,841.58

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1.5x scale

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.