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Finding the Fourth Proportional to 56,959.10, 78,602.60 and 31,465.46

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Solution

The fourth proportional to 56,959.10, 78,602.60 and 31,465.46 is: 43,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959.10 : 78,602.60 = 31,465.46 : x
  2. Step 2: Convert to fraction form
    56,959.10/78,602.60 = 31,465.46/x
  3. Step 3: Cross multiply
    56,959.10x = 78,602.60 × 31,465.46
  4. Step 4: Simplify right side
    56,959.10x = 2,473,267,241.37
  5. Step 5: Solve for x
    x = 2,473,267,241.37/56,959.10
  6. Step 6: Final answer
    x = 43,421.81

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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.