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Finding the Fourth Proportional to 83,769.33, 115,602.59 and 45,528.86

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Solution

The fourth proportional to 83,769.33, 115,602.59 and 45,528.86 is: 62,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769.33 : 115,602.59 = 45,528.86 : x
  2. Step 2: Convert to fraction form
    83,769.33/115,602.59 = 45,528.86/x
  3. Step 3: Cross multiply
    83,769.33x = 115,602.59 × 45,528.86
  4. Step 4: Simplify right side
    83,769.33x = 5,263,254,197.11
  5. Step 5: Solve for x
    x = 5,263,254,197.11/83,769.33
  6. Step 6: Final answer
    x = 62,830.32

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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.