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Finding the Fourth Proportional to 96,368.12, 132,978.64 and 56,087.22

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Solution

The fourth proportional to 96,368.12, 132,978.64 and 56,087.22 is: 77,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,368.12 : 132,978.64 = 56,087.22 : x
  2. Step 2: Convert to fraction form
    96,368.12/132,978.64 = 56,087.22/x
  3. Step 3: Cross multiply
    96,368.12x = 132,978.64 × 56,087.22
  4. Step 4: Simplify right side
    96,368.12x = 7,458,402,236.98
  5. Step 5: Solve for x
    x = 7,458,402,236.98/96,368.12
  6. Step 6: Final answer
    x = 77,394.91

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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.