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Finding the Fourth Proportional to 32,866.60, 49,309.02 and 9,495.40

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Solution

The fourth proportional to 32,866.60, 49,309.02 and 9,495.40 is: 14,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866.60 : 49,309.02 = 9,495.40 : x
  2. Step 2: Convert to fraction form
    32,866.60/49,309.02 = 9,495.40/x
  3. Step 3: Cross multiply
    32,866.60x = 49,309.02 × 9,495.40
  4. Step 4: Simplify right side
    32,866.60x = 468,208,868.51
  5. Step 5: Solve for x
    x = 468,208,868.51/32,866.60
  6. Step 6: Final answer
    x = 14,245.73

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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.