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Finding the Fourth Proportional to 32,653.86, 48,979.35 and 10,468.35

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Solution

The fourth proportional to 32,653.86, 48,979.35 and 10,468.35 is: 15,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.86 : 48,979.35 = 10,468.35 : x
  2. Step 2: Convert to fraction form
    32,653.86/48,979.35 = 10,468.35/x
  3. Step 3: Cross multiply
    32,653.86x = 48,979.35 × 10,468.35
  4. Step 4: Simplify right side
    32,653.86x = 512,732,978.57
  5. Step 5: Solve for x
    x = 512,732,978.57/32,653.86
  6. Step 6: Final answer
    x = 15,702.06

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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.