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Finding the Fourth Proportional to 32,876.96, 49,317.96 and 9,503.60

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Solution

The fourth proportional to 32,876.96, 49,317.96 and 9,503.60 is: 14,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.96 : 49,317.96 = 9,503.60 : x
  2. Step 2: Convert to fraction form
    32,876.96/49,317.96 = 9,503.60/x
  3. Step 3: Cross multiply
    32,876.96x = 49,317.96 × 9,503.60
  4. Step 4: Simplify right side
    32,876.96x = 468,698,164.66
  5. Step 5: Solve for x
    x = 468,698,164.66/32,876.96
  6. Step 6: Final answer
    x = 14,256.13

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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.