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Finding the Fourth Proportional to 83,313.50, 114,972.63 and 45,587.75

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Solution

The fourth proportional to 83,313.50, 114,972.63 and 45,587.75 is: 62,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313.50 : 114,972.63 = 45,587.75 : x
  2. Step 2: Convert to fraction form
    83,313.50/114,972.63 = 45,587.75/x
  3. Step 3: Cross multiply
    83,313.50x = 114,972.63 × 45,587.75
  4. Step 4: Simplify right side
    83,313.50x = 5,241,343,513.28
  5. Step 5: Solve for x
    x = 5,241,343,513.28/83,313.50
  6. Step 6: Final answer
    x = 62,911.10

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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.