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Finding the Fourth Proportional to 56,298.38, 77,678.94 and 33,633.76

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Solution

The fourth proportional to 56,298.38, 77,678.94 and 33,633.76 is: 46,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,298.38 : 77,678.94 = 33,633.76 : x
  2. Step 2: Convert to fraction form
    56,298.38/77,678.94 = 33,633.76/x
  3. Step 3: Cross multiply
    56,298.38x = 77,678.94 × 33,633.76
  4. Step 4: Simplify right side
    56,298.38x = 2,612,634,825.01
  5. Step 5: Solve for x
    x = 2,612,634,825.01/56,298.38
  6. Step 6: Final answer
    x = 46,406.93

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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.