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Finding the Fourth Proportional to 77,203, 106,540.14 and 41,875

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Solution

The fourth proportional to 77,203, 106,540.14 and 41,875 is: 57,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203 : 106,540.14 = 41,875 : x
  2. Step 2: Convert to fraction form
    77,203/106,540.14 = 41,875/x
  3. Step 3: Cross multiply
    77,203x = 106,540.14 × 41,875
  4. Step 4: Simplify right side
    77,203x = 4,461,368,362.50
  5. Step 5: Solve for x
    x = 4,461,368,362.50/77,203
  6. Step 6: Final answer
    x = 57,787.50

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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.