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Finding the Fourth Proportional to 43,465.76, 60,019.52 and 27,578.40

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Solution

The fourth proportional to 43,465.76, 60,019.52 and 27,578.40 is: 38,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,465.76 : 60,019.52 = 27,578.40 : x
  2. Step 2: Convert to fraction form
    43,465.76/60,019.52 = 27,578.40/x
  3. Step 3: Cross multiply
    43,465.76x = 60,019.52 × 27,578.40
  4. Step 4: Simplify right side
    43,465.76x = 1,655,242,330.37
  5. Step 5: Solve for x
    x = 1,655,242,330.37/43,465.76
  6. Step 6: Final answer
    x = 38,081.52

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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.