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Finding the Fourth Proportional to 171,688.10, 257,528.10 and 47,029.10

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Solution

The fourth proportional to 171,688.10, 257,528.10 and 47,029.10 is: 70,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,688.10 : 257,528.10 = 47,029.10 : x
  2. Step 2: Convert to fraction form
    171,688.10/257,528.10 = 47,029.10/x
  3. Step 3: Cross multiply
    171,688.10x = 257,528.10 × 47,029.10
  4. Step 4: Simplify right side
    171,688.10x = 12,111,314,767.71
  5. Step 5: Solve for x
    x = 12,111,314,767.71/171,688.10
  6. Step 6: Final answer
    x = 70,542.54

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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.