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Finding the Fourth Proportional to 98,483.94, 135,909.45 and 53,771.94

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Solution

The fourth proportional to 98,483.94, 135,909.45 and 53,771.94 is: 74,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,483.94 : 135,909.45 = 53,771.94 : x
  2. Step 2: Convert to fraction form
    98,483.94/135,909.45 = 53,771.94/x
  3. Step 3: Cross multiply
    98,483.94x = 135,909.45 × 53,771.94
  4. Step 4: Simplify right side
    98,483.94x = 7,308,114,790.83
  5. Step 5: Solve for x
    x = 7,308,114,790.83/98,483.94
  6. Step 6: Final answer
    x = 74,206.16

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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.