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Finding the Fourth Proportional to 98,541, 135,986.58 and 53,829

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Solution

The fourth proportional to 98,541, 135,986.58 and 53,829 is: 74,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 135,986.58 = 53,829 : x
  2. Step 2: Convert to fraction form
    98,541/135,986.58 = 53,829/x
  3. Step 3: Cross multiply
    98,541x = 135,986.58 × 53,829
  4. Step 4: Simplify right side
    98,541x = 7,320,021,614.82
  5. Step 5: Solve for x
    x = 7,320,021,614.82/98,541
  6. Step 6: Final answer
    x = 74,284.02

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1.5x scale

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.