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Finding the Fourth Proportional to 32,090.14, 48,132.06 and 9,897.52

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Solution

The fourth proportional to 32,090.14, 48,132.06 and 9,897.52 is: 14,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.14 : 48,132.06 = 9,897.52 : x
  2. Step 2: Convert to fraction form
    32,090.14/48,132.06 = 9,897.52/x
  3. Step 3: Cross multiply
    32,090.14x = 48,132.06 × 9,897.52
  4. Step 4: Simplify right side
    32,090.14x = 476,388,026.49
  5. Step 5: Solve for x
    x = 476,388,026.49/32,090.14
  6. Step 6: Final answer
    x = 14,845.31

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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.