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Finding the Fourth Proportional to 195,015, 292,522.50 and 47,271

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Solution

The fourth proportional to 195,015, 292,522.50 and 47,271 is: 70,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,015 : 292,522.50 = 47,271 : x
  2. Step 2: Convert to fraction form
    195,015/292,522.50 = 47,271/x
  3. Step 3: Cross multiply
    195,015x = 292,522.50 × 47,271
  4. Step 4: Simplify right side
    195,015x = 13,827,831,097.50
  5. Step 5: Solve for x
    x = 13,827,831,097.50/195,015
  6. Step 6: Final answer
    x = 70,906.50

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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.