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Finding the Fourth Proportional to 195,019, 292,528.50 and 47,275

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Solution

The fourth proportional to 195,019, 292,528.50 and 47,275 is: 70,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,019 : 292,528.50 = 47,275 : x
  2. Step 2: Convert to fraction form
    195,019/292,528.50 = 47,275/x
  3. Step 3: Cross multiply
    195,019x = 292,528.50 × 47,275
  4. Step 4: Simplify right side
    195,019x = 13,829,284,837.50
  5. Step 5: Solve for x
    x = 13,829,284,837.50/195,019
  6. Step 6: Final answer
    x = 70,912.50

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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.