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Finding the Fourth Proportional to 32,076.16, 48,120.54 and 9,885.76

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Solution

The fourth proportional to 32,076.16, 48,120.54 and 9,885.76 is: 14,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.16 : 48,120.54 = 9,885.76 : x
  2. Step 2: Convert to fraction form
    32,076.16/48,120.54 = 9,885.76/x
  3. Step 3: Cross multiply
    32,076.16x = 48,120.54 × 9,885.76
  4. Step 4: Simplify right side
    32,076.16x = 475,708,109.51
  5. Step 5: Solve for x
    x = 475,708,109.51/32,076.16
  6. Step 6: Final answer
    x = 14,830.58

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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.