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Finding the Fourth Proportional to 83,443, 115,154.04 and 45,719.68

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Solution

The fourth proportional to 83,443, 115,154.04 and 45,719.68 is: 63,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443 : 115,154.04 = 45,719.68 : x
  2. Step 2: Convert to fraction form
    83,443/115,154.04 = 45,719.68/x
  3. Step 3: Cross multiply
    83,443x = 115,154.04 × 45,719.68
  4. Step 4: Simplify right side
    83,443x = 5,264,805,859.51
  5. Step 5: Solve for x
    x = 5,264,805,859.51/83,443
  6. Step 6: Final answer
    x = 63,094.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.