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Finding the Fourth Proportional to 32,579.70, 48,870.46 and 11,516.77

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Solution

The fourth proportional to 32,579.70, 48,870.46 and 11,516.77 is: 17,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579.70 : 48,870.46 = 11,516.77 : x
  2. Step 2: Convert to fraction form
    32,579.70/48,870.46 = 11,516.77/x
  3. Step 3: Cross multiply
    32,579.70x = 48,870.46 × 11,516.77
  4. Step 4: Simplify right side
    32,579.70x = 562,829,847.61
  5. Step 5: Solve for x
    x = 562,829,847.61/32,579.70
  6. Step 6: Final answer
    x = 17,275.48

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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.