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Finding the Fourth Proportional to 172,001.64, 257,995.74 and 47,339.24

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Solution

The fourth proportional to 172,001.64, 257,995.74 and 47,339.24 is: 71,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,001.64 : 257,995.74 = 47,339.24 : x
  2. Step 2: Convert to fraction form
    172,001.64/257,995.74 = 47,339.24/x
  3. Step 3: Cross multiply
    172,001.64x = 257,995.74 × 47,339.24
  4. Step 4: Simplify right side
    172,001.64x = 12,213,322,254.84
  5. Step 5: Solve for x
    x = 12,213,322,254.84/172,001.64
  6. Step 6: Final answer
    x = 71,007.01

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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.