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Finding the Fourth Proportional to 32,038.04, 47,962.42 and 23,662.43

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Solution

The fourth proportional to 32,038.04, 47,962.42 and 23,662.43 is: 35,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.04 : 47,962.42 = 23,662.43 : x
  2. Step 2: Convert to fraction form
    32,038.04/47,962.42 = 23,662.43/x
  3. Step 3: Cross multiply
    32,038.04x = 47,962.42 × 23,662.43
  4. Step 4: Simplify right side
    32,038.04x = 1,134,907,106.91
  5. Step 5: Solve for x
    x = 1,134,907,106.91/32,038.04
  6. Step 6: Final answer
    x = 35,423.74

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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.