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Finding the Fourth Proportional to 171,376.47, 257,064.66 and 46,717.47

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Solution

The fourth proportional to 171,376.47, 257,064.66 and 46,717.47 is: 70,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,376.47 : 257,064.66 = 46,717.47 : x
  2. Step 2: Convert to fraction form
    171,376.47/257,064.66 = 46,717.47/x
  3. Step 3: Cross multiply
    171,376.47x = 257,064.66 × 46,717.47
  4. Step 4: Simplify right side
    171,376.47x = 12,009,410,541.61
  5. Step 5: Solve for x
    x = 12,009,410,541.61/171,376.47
  6. Step 6: Final answer
    x = 70,076.19

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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.