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Finding the Fourth Proportional to 56,410.77, 77,850.14 and 32,538.45

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Solution

The fourth proportional to 56,410.77, 77,850.14 and 32,538.45 is: 44,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410.77 : 77,850.14 = 32,538.45 : x
  2. Step 2: Convert to fraction form
    56,410.77/77,850.14 = 32,538.45/x
  3. Step 3: Cross multiply
    56,410.77x = 77,850.14 × 32,538.45
  4. Step 4: Simplify right side
    56,410.77x = 2,533,122,725.19
  5. Step 5: Solve for x
    x = 2,533,122,725.19/56,410.77
  6. Step 6: Final answer
    x = 44,904.95

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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.