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Finding the Fourth Proportional to 19,475.54, 29,213.32 and 5,435

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Solution

The fourth proportional to 19,475.54, 29,213.32 and 5,435 is: 8,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475.54 : 29,213.32 = 5,435 : x
  2. Step 2: Convert to fraction form
    19,475.54/29,213.32 = 5,435/x
  3. Step 3: Cross multiply
    19,475.54x = 29,213.32 × 5,435
  4. Step 4: Simplify right side
    19,475.54x = 158,774,394.20
  5. Step 5: Solve for x
    x = 158,774,394.20/19,475.54
  6. Step 6: Final answer
    x = 8,152.50

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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.