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Finding the Fourth Proportional to 32,564, 48,848.08 and 9,192.26

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Solution

The fourth proportional to 32,564, 48,848.08 and 9,192.26 is: 13,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564 : 48,848.08 = 9,192.26 : x
  2. Step 2: Convert to fraction form
    32,564/48,848.08 = 9,192.26/x
  3. Step 3: Cross multiply
    32,564x = 48,848.08 × 9,192.26
  4. Step 4: Simplify right side
    32,564x = 449,024,251.86
  5. Step 5: Solve for x
    x = 449,024,251.86/32,564
  6. Step 6: Final answer
    x = 13,788.98

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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.