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Finding the Fourth Proportional to 32,602.77, 48,932.10 and 32,357.34

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Solution

The fourth proportional to 32,602.77, 48,932.10 and 32,357.34 is: 48,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.77 : 48,932.10 = 32,357.34 : x
  2. Step 2: Convert to fraction form
    32,602.77/48,932.10 = 32,357.34/x
  3. Step 3: Cross multiply
    32,602.77x = 48,932.10 × 32,357.34
  4. Step 4: Simplify right side
    32,602.77x = 1,583,312,596.61
  5. Step 5: Solve for x
    x = 1,583,312,596.61/32,602.77
  6. Step 6: Final answer
    x = 48,563.74

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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.