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Finding the Fourth Proportional to 78,649.31, 117,875.50 and 61,943.38

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Solution

The fourth proportional to 78,649.31, 117,875.50 and 61,943.38 is: 92,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.31 : 117,875.50 = 61,943.38 : x
  2. Step 2: Convert to fraction form
    78,649.31/117,875.50 = 61,943.38/x
  3. Step 3: Cross multiply
    78,649.31x = 117,875.50 × 61,943.38
  4. Step 4: Simplify right side
    78,649.31x = 7,301,606,889.19
  5. Step 5: Solve for x
    x = 7,301,606,889.19/78,649.31
  6. Step 6: Final answer
    x = 92,837.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.