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Finding the Fourth Proportional to 105,294, 157,968.36 and 31,422

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Solution

The fourth proportional to 105,294, 157,968.36 and 31,422 is: 47,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,294 : 157,968.36 = 31,422 : x
  2. Step 2: Convert to fraction form
    105,294/157,968.36 = 31,422/x
  3. Step 3: Cross multiply
    105,294x = 157,968.36 × 31,422
  4. Step 4: Simplify right side
    105,294x = 4,963,681,807.92
  5. Step 5: Solve for x
    x = 4,963,681,807.92/105,294
  6. Step 6: Final answer
    x = 47,141.16

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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.