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Finding the Fourth Proportional to 83,656.48, 115,446.05 and 45,416.05

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Solution

The fourth proportional to 83,656.48, 115,446.05 and 45,416.05 is: 62,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.48 : 115,446.05 = 45,416.05 : x
  2. Step 2: Convert to fraction form
    83,656.48/115,446.05 = 45,416.05/x
  3. Step 3: Cross multiply
    83,656.48x = 115,446.05 × 45,416.05
  4. Step 4: Simplify right side
    83,656.48x = 5,243,103,579.10
  5. Step 5: Solve for x
    x = 5,243,103,579.10/83,656.48
  6. Step 6: Final answer
    x = 62,674.21

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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.