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Finding the Fourth Proportional to 55,613.34, 83,428.14 and 16,165.32

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Solution

The fourth proportional to 55,613.34, 83,428.14 and 16,165.32 is: 24,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,613.34 : 83,428.14 = 16,165.32 : x
  2. Step 2: Convert to fraction form
    55,613.34/83,428.14 = 16,165.32/x
  3. Step 3: Cross multiply
    55,613.34x = 83,428.14 × 16,165.32
  4. Step 4: Simplify right side
    55,613.34x = 1,348,642,580.10
  5. Step 5: Solve for x
    x = 1,348,642,580.10/55,613.34
  6. Step 6: Final answer
    x = 24,250.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.