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Finding the Fourth Proportional to 59,164, 81,646.32 and 40,334.08

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Solution

The fourth proportional to 59,164, 81,646.32 and 40,334.08 is: 55,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,164 : 81,646.32 = 40,334.08 : x
  2. Step 2: Convert to fraction form
    59,164/81,646.32 = 40,334.08/x
  3. Step 3: Cross multiply
    59,164x = 81,646.32 × 40,334.08
  4. Step 4: Simplify right side
    59,164x = 3,293,129,202.59
  5. Step 5: Solve for x
    x = 3,293,129,202.59/59,164
  6. Step 6: Final answer
    x = 55,661.03

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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.