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Finding the Fourth Proportional to 32,038.61, 48,049.59 and 9,544.02

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Solution

The fourth proportional to 32,038.61, 48,049.59 and 9,544.02 is: 14,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.61 : 48,049.59 = 9,544.02 : x
  2. Step 2: Convert to fraction form
    32,038.61/48,049.59 = 9,544.02/x
  3. Step 3: Cross multiply
    32,038.61x = 48,049.59 × 9,544.02
  4. Step 4: Simplify right side
    32,038.61x = 458,586,247.95
  5. Step 5: Solve for x
    x = 458,586,247.95/32,038.61
  6. Step 6: Final answer
    x = 14,313.55

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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.