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Finding the Fourth Proportional to 32,101.17, 48,127.65 and 9,901.50

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Solution

The fourth proportional to 32,101.17, 48,127.65 and 9,901.50 is: 14,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.17 : 48,127.65 = 9,901.50 : x
  2. Step 2: Convert to fraction form
    32,101.17/48,127.65 = 9,901.50/x
  3. Step 3: Cross multiply
    32,101.17x = 48,127.65 × 9,901.50
  4. Step 4: Simplify right side
    32,101.17x = 476,535,926.48
  5. Step 5: Solve for x
    x = 476,535,926.48/32,101.17
  6. Step 6: Final answer
    x = 14,844.81

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Why These Related Problems?

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