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Finding the Fourth Proportional to 98,349.24, 135,722.40 and 55,916.64

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Solution

The fourth proportional to 98,349.24, 135,722.40 and 55,916.64 is: 77,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,349.24 : 135,722.40 = 55,916.64 : x
  2. Step 2: Convert to fraction form
    98,349.24/135,722.40 = 55,916.64/x
  3. Step 3: Cross multiply
    98,349.24x = 135,722.40 × 55,916.64
  4. Step 4: Simplify right side
    98,349.24x = 7,589,140,580.74
  5. Step 5: Solve for x
    x = 7,589,140,580.74/98,349.24
  6. Step 6: Final answer
    x = 77,165.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.