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Finding the Fourth Proportional to 32,333.94, 48,483.72 and 10,141.26

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Solution

The fourth proportional to 32,333.94, 48,483.72 and 10,141.26 is: 15,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.94 : 48,483.72 = 10,141.26 : x
  2. Step 2: Convert to fraction form
    32,333.94/48,483.72 = 10,141.26/x
  3. Step 3: Cross multiply
    32,333.94x = 48,483.72 × 10,141.26
  4. Step 4: Simplify right side
    32,333.94x = 491,686,010.29
  5. Step 5: Solve for x
    x = 491,686,010.29/32,333.94
  6. Step 6: Final answer
    x = 15,206.50

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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.