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Finding the Fourth Proportional to 97,517, 146,275.52 and 23,645

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Solution

The fourth proportional to 97,517, 146,275.52 and 23,645 is: 35,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,517 : 146,275.52 = 23,645 : x
  2. Step 2: Convert to fraction form
    97,517/146,275.52 = 23,645/x
  3. Step 3: Cross multiply
    97,517x = 146,275.52 × 23,645
  4. Step 4: Simplify right side
    97,517x = 3,458,684,670.40
  5. Step 5: Solve for x
    x = 3,458,684,670.40/97,517
  6. Step 6: Final answer
    x = 35,467.50

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Why These Related Problems?

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