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Finding the Fourth Proportional to 75,457.40, 103,999.40 and 55,271.38

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Solution

The fourth proportional to 75,457.40, 103,999.40 and 55,271.38 is: 76,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457.40 : 103,999.40 = 55,271.38 : x
  2. Step 2: Convert to fraction form
    75,457.40/103,999.40 = 55,271.38/x
  3. Step 3: Cross multiply
    75,457.40x = 103,999.40 × 55,271.38
  4. Step 4: Simplify right side
    75,457.40x = 5,748,190,357.17
  5. Step 5: Solve for x
    x = 5,748,190,357.17/75,457.40
  6. Step 6: Final answer
    x = 76,177.95

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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.