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Finding the Fourth Proportional to 32,497.15, 48,736.04 and 13,776.89

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Solution

The fourth proportional to 32,497.15, 48,736.04 and 13,776.89 is: 20,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.15 : 48,736.04 = 13,776.89 : x
  2. Step 2: Convert to fraction form
    32,497.15/48,736.04 = 13,776.89/x
  3. Step 3: Cross multiply
    32,497.15x = 48,736.04 × 13,776.89
  4. Step 4: Simplify right side
    32,497.15x = 671,430,846.42
  5. Step 5: Solve for x
    x = 671,430,846.42/32,497.15
  6. Step 6: Final answer
    x = 20,661.22

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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.