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Finding the Fourth Proportional to 95,161.13, 131,312.80 and 56,913

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Solution

The fourth proportional to 95,161.13, 131,312.80 and 56,913 is: 78,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,161.13 : 131,312.80 = 56,913 : x
  2. Step 2: Convert to fraction form
    95,161.13/131,312.80 = 56,913/x
  3. Step 3: Cross multiply
    95,161.13x = 131,312.80 × 56,913
  4. Step 4: Simplify right side
    95,161.13x = 7,473,405,386.40
  5. Step 5: Solve for x
    x = 7,473,405,386.40/95,161.13
  6. Step 6: Final answer
    x = 78,534.23

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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.