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Finding the Fourth Proportional to 32,012.70, 48,019.17 and 14,461.98

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Solution

The fourth proportional to 32,012.70, 48,019.17 and 14,461.98 is: 21,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.70 : 48,019.17 = 14,461.98 : x
  2. Step 2: Convert to fraction form
    32,012.70/48,019.17 = 14,461.98/x
  3. Step 3: Cross multiply
    32,012.70x = 48,019.17 × 14,461.98
  4. Step 4: Simplify right side
    32,012.70x = 694,452,276.16
  5. Step 5: Solve for x
    x = 694,452,276.16/32,012.70
  6. Step 6: Final answer
    x = 21,693.02

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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.