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Finding the Fourth Proportional to 56,355.50, 77,770.59 and 31,205

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Solution

The fourth proportional to 56,355.50, 77,770.59 and 31,205 is: 43,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,355.50 : 77,770.59 = 31,205 : x
  2. Step 2: Convert to fraction form
    56,355.50/77,770.59 = 31,205/x
  3. Step 3: Cross multiply
    56,355.50x = 77,770.59 × 31,205
  4. Step 4: Simplify right side
    56,355.50x = 2,426,831,260.95
  5. Step 5: Solve for x
    x = 2,426,831,260.95/56,355.50
  6. Step 6: Final answer
    x = 43,062.90

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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.