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Finding the Fourth Proportional to 32,807.68, 49,211.76 and 14,071.91

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Solution

The fourth proportional to 32,807.68, 49,211.76 and 14,071.91 is: 21,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.68 : 49,211.76 = 14,071.91 : x
  2. Step 2: Convert to fraction form
    32,807.68/49,211.76 = 14,071.91/x
  3. Step 3: Cross multiply
    32,807.68x = 49,211.76 × 14,071.91
  4. Step 4: Simplify right side
    32,807.68x = 692,503,457.66
  5. Step 5: Solve for x
    x = 692,503,457.66/32,807.68
  6. Step 6: Final answer
    x = 21,107.97

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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.