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Finding the Fourth Proportional to 195,025, 292,537.50 and 47,281

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Solution

The fourth proportional to 195,025, 292,537.50 and 47,281 is: 70,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,025 : 292,537.50 = 47,281 : x
  2. Step 2: Convert to fraction form
    195,025/292,537.50 = 47,281/x
  3. Step 3: Cross multiply
    195,025x = 292,537.50 × 47,281
  4. Step 4: Simplify right side
    195,025x = 13,831,465,537.50
  5. Step 5: Solve for x
    x = 13,831,465,537.50/195,025
  6. Step 6: Final answer
    x = 70,921.50

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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.