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Finding the Fourth Proportional to 29,738, 41,038.44 and 16,490

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Solution

The fourth proportional to 29,738, 41,038.44 and 16,490 is: 22,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738 : 41,038.44 = 16,490 : x
  2. Step 2: Convert to fraction form
    29,738/41,038.44 = 16,490/x
  3. Step 3: Cross multiply
    29,738x = 41,038.44 × 16,490
  4. Step 4: Simplify right side
    29,738x = 676,723,875.60
  5. Step 5: Solve for x
    x = 676,723,875.60/29,738
  6. Step 6: Final answer
    x = 22,756.20

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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.