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Finding the Fourth Proportional to 56,530.48, 78,008.16 and 31,378

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Solution

The fourth proportional to 56,530.48, 78,008.16 and 31,378 is: 43,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,530.48 : 78,008.16 = 31,378 : x
  2. Step 2: Convert to fraction form
    56,530.48/78,008.16 = 31,378/x
  3. Step 3: Cross multiply
    56,530.48x = 78,008.16 × 31,378
  4. Step 4: Simplify right side
    56,530.48x = 2,447,740,044.48
  5. Step 5: Solve for x
    x = 2,447,740,044.48/56,530.48
  6. Step 6: Final answer
    x = 43,299.47

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