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Finding the Fourth Proportional to 101,792.16, 152,671.23 and 31,666.01

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Solution

The fourth proportional to 101,792.16, 152,671.23 and 31,666.01 is: 47,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792.16 : 152,671.23 = 31,666.01 : x
  2. Step 2: Convert to fraction form
    101,792.16/152,671.23 = 31,666.01/x
  3. Step 3: Cross multiply
    101,792.16x = 152,671.23 × 31,666.01
  4. Step 4: Simplify right side
    101,792.16x = 4,834,487,932.54
  5. Step 5: Solve for x
    x = 4,834,487,932.54/101,792.16
  6. Step 6: Final answer
    x = 47,493.72

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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.