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Finding the Fourth Proportional to 172,451.77, 258,677.75 and 47,792.77

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Solution

The fourth proportional to 172,451.77, 258,677.75 and 47,792.77 is: 71,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,451.77 : 258,677.75 = 47,792.77 : x
  2. Step 2: Convert to fraction form
    172,451.77/258,677.75 = 47,792.77/x
  3. Step 3: Cross multiply
    172,451.77x = 258,677.75 × 47,792.77
  4. Step 4: Simplify right side
    172,451.77x = 12,362,925,682.66
  5. Step 5: Solve for x
    x = 12,362,925,682.66/172,451.77
  6. Step 6: Final answer
    x = 71,689.18

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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.