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Finding the Fourth Proportional to 32,707.34, 49,061.21 and 11,648.21

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Solution

The fourth proportional to 32,707.34, 49,061.21 and 11,648.21 is: 17,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.34 : 49,061.21 = 11,648.21 : x
  2. Step 2: Convert to fraction form
    32,707.34/49,061.21 = 11,648.21/x
  3. Step 3: Cross multiply
    32,707.34x = 49,061.21 × 11,648.21
  4. Step 4: Simplify right side
    32,707.34x = 571,475,038.91
  5. Step 5: Solve for x
    x = 571,475,038.91/32,707.34
  6. Step 6: Final answer
    x = 17,472.38

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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.