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Finding the Fourth Proportional to 38,496, 57,746.19 and 10,796.16

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Solution

The fourth proportional to 38,496, 57,746.19 and 10,796.16 is: 16,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 57,746.19 = 10,796.16 : x
  2. Step 2: Convert to fraction form
    38,496/57,746.19 = 10,796.16/x
  3. Step 3: Cross multiply
    38,496x = 57,746.19 × 10,796.16
  4. Step 4: Simplify right side
    38,496x = 623,437,106.63
  5. Step 5: Solve for x
    x = 623,437,106.63/38,496
  6. Step 6: Final answer
    x = 16,194.85

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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.