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Finding the Fourth Proportional to 32,415.26, 48,631.05 and 9,041.63

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Solution

The fourth proportional to 32,415.26, 48,631.05 and 9,041.63 is: 13,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.26 : 48,631.05 = 9,041.63 : x
  2. Step 2: Convert to fraction form
    32,415.26/48,631.05 = 9,041.63/x
  3. Step 3: Cross multiply
    32,415.26x = 48,631.05 × 9,041.63
  4. Step 4: Simplify right side
    32,415.26x = 439,703,717.46
  5. Step 5: Solve for x
    x = 439,703,717.46/32,415.26
  6. Step 6: Final answer
    x = 13,564.72

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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.