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Finding the Fourth Proportional to 32,962.34, 49,421.55 and 17,128.46

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Solution

The fourth proportional to 32,962.34, 49,421.55 and 17,128.46 is: 25,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.34 : 49,421.55 = 17,128.46 : x
  2. Step 2: Convert to fraction form
    32,962.34/49,421.55 = 17,128.46/x
  3. Step 3: Cross multiply
    32,962.34x = 49,421.55 × 17,128.46
  4. Step 4: Simplify right side
    32,962.34x = 846,515,042.31
  5. Step 5: Solve for x
    x = 846,515,042.31/32,962.34
  6. Step 6: Final answer
    x = 25,681.28

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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.