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Finding the Fourth Proportional to 98,541, 135,986.74 and 56,099.53

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Solution

The fourth proportional to 98,541, 135,986.74 and 56,099.53 is: 77,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541 : 135,986.74 = 56,099.53 : x
  2. Step 2: Convert to fraction form
    98,541/135,986.74 = 56,099.53/x
  3. Step 3: Cross multiply
    98,541x = 135,986.74 × 56,099.53
  4. Step 4: Simplify right side
    98,541x = 7,628,792,229.97
  5. Step 5: Solve for x
    x = 7,628,792,229.97/98,541
  6. Step 6: Final answer
    x = 77,417.44

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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.