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Finding the Fourth Proportional to 32,089.50, 48,135.48 and 9,903.06

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Solution

The fourth proportional to 32,089.50, 48,135.48 and 9,903.06 is: 14,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.50 : 48,135.48 = 9,903.06 : x
  2. Step 2: Convert to fraction form
    32,089.50/48,135.48 = 9,903.06/x
  3. Step 3: Cross multiply
    32,089.50x = 48,135.48 × 9,903.06
  4. Step 4: Simplify right side
    32,089.50x = 476,688,546.57
  5. Step 5: Solve for x
    x = 476,688,546.57/32,089.50
  6. Step 6: Final answer
    x = 14,854.97

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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.