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Finding the Fourth Proportional to 51,966, 77,875.56 and 25,634.16

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Solution

The fourth proportional to 51,966, 77,875.56 and 25,634.16 is: 38,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966 : 77,875.56 = 25,634.16 : x
  2. Step 2: Convert to fraction form
    51,966/77,875.56 = 25,634.16/x
  3. Step 3: Cross multiply
    51,966x = 77,875.56 × 25,634.16
  4. Step 4: Simplify right side
    51,966x = 1,996,274,565.13
  5. Step 5: Solve for x
    x = 1,996,274,565.13/51,966
  6. Step 6: Final answer
    x = 38,415.01

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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.