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Finding the Fourth Proportional to 29,025, 40,048.02 and 17,088.84

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Solution

The fourth proportional to 29,025, 40,048.02 and 17,088.84 is: 23,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,025 : 40,048.02 = 17,088.84 : x
  2. Step 2: Convert to fraction form
    29,025/40,048.02 = 17,088.84/x
  3. Step 3: Cross multiply
    29,025x = 40,048.02 × 17,088.84
  4. Step 4: Simplify right side
    29,025x = 684,374,206.10
  5. Step 5: Solve for x
    x = 684,374,206.10/29,025
  6. Step 6: Final answer
    x = 23,578.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.