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Finding the Fourth Proportional to 75,060, 103,541.84 and 48,206.60

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Solution

The fourth proportional to 75,060, 103,541.84 and 48,206.60 is: 66,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,060 : 103,541.84 = 48,206.60 : x
  2. Step 2: Convert to fraction form
    75,060/103,541.84 = 48,206.60/x
  3. Step 3: Cross multiply
    75,060x = 103,541.84 × 48,206.60
  4. Step 4: Simplify right side
    75,060x = 4,991,400,064.14
  5. Step 5: Solve for x
    x = 4,991,400,064.14/75,060
  6. Step 6: Final answer
    x = 66,498.80

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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.