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Finding the Fourth Proportional to 32,470.02, 48,705.03 and 7,846.02

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Solution

The fourth proportional to 32,470.02, 48,705.03 and 7,846.02 is: 11,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.02 : 48,705.03 = 7,846.02 : x
  2. Step 2: Convert to fraction form
    32,470.02/48,705.03 = 7,846.02/x
  3. Step 3: Cross multiply
    32,470.02x = 48,705.03 × 7,846.02
  4. Step 4: Simplify right side
    32,470.02x = 382,140,639.48
  5. Step 5: Solve for x
    x = 382,140,639.48/32,470.02
  6. Step 6: Final answer
    x = 11,769.03

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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.