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Finding the Fourth Proportional to 56,205.36, 77,562.72 and 31,054.32

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Solution

The fourth proportional to 56,205.36, 77,562.72 and 31,054.32 is: 42,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,205.36 : 77,562.72 = 31,054.32 : x
  2. Step 2: Convert to fraction form
    56,205.36/77,562.72 = 31,054.32/x
  3. Step 3: Cross multiply
    56,205.36x = 77,562.72 × 31,054.32
  4. Step 4: Simplify right side
    56,205.36x = 2,408,657,526.95
  5. Step 5: Solve for x
    x = 2,408,657,526.95/56,205.36
  6. Step 6: Final answer
    x = 42,854.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.