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Finding the Fourth Proportional to 32,602.77, 48,871.06 and 18,533.72

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Solution

The fourth proportional to 32,602.77, 48,871.06 and 18,533.72 is: 27,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.77 : 48,871.06 = 18,533.72 : x
  2. Step 2: Convert to fraction form
    32,602.77/48,871.06 = 18,533.72/x
  3. Step 3: Cross multiply
    32,602.77x = 48,871.06 × 18,533.72
  4. Step 4: Simplify right side
    32,602.77x = 905,762,616.79
  5. Step 5: Solve for x
    x = 905,762,616.79/32,602.77
  6. Step 6: Final answer
    x = 27,781.77

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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.