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Finding the Fourth Proportional to 56,229.30, 77,583.63 and 33,575.64

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Solution

The fourth proportional to 56,229.30, 77,583.63 and 33,575.64 is: 46,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,229.30 : 77,583.63 = 33,575.64 : x
  2. Step 2: Convert to fraction form
    56,229.30/77,583.63 = 33,575.64/x
  3. Step 3: Cross multiply
    56,229.30x = 77,583.63 × 33,575.64
  4. Step 4: Simplify right side
    56,229.30x = 2,604,920,030.77
  5. Step 5: Solve for x
    x = 2,604,920,030.77/56,229.30
  6. Step 6: Final answer
    x = 46,326.74

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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.