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Finding the Fourth Proportional to 98,195.50, 135,509.79 and 53,483.50

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Solution

The fourth proportional to 98,195.50, 135,509.79 and 53,483.50 is: 73,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,195.50 : 135,509.79 = 53,483.50 : x
  2. Step 2: Convert to fraction form
    98,195.50/135,509.79 = 53,483.50/x
  3. Step 3: Cross multiply
    98,195.50x = 135,509.79 × 53,483.50
  4. Step 4: Simplify right side
    98,195.50x = 7,247,537,853.47
  5. Step 5: Solve for x
    x = 7,247,537,853.47/98,195.50
  6. Step 6: Final answer
    x = 73,807.23

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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.