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Finding the Fourth Proportional to 32,971.34, 49,459.28 and 13,249.91

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Solution

The fourth proportional to 32,971.34, 49,459.28 and 13,249.91 is: 19,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.34 : 49,459.28 = 13,249.91 : x
  2. Step 2: Convert to fraction form
    32,971.34/49,459.28 = 13,249.91/x
  3. Step 3: Cross multiply
    32,971.34x = 49,459.28 × 13,249.91
  4. Step 4: Simplify right side
    32,971.34x = 655,330,695.12
  5. Step 5: Solve for x
    x = 655,330,695.12/32,971.34
  6. Step 6: Final answer
    x = 19,875.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.