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Finding the Fourth Proportional to 97,677.27, 134,788.11 and 54,649.30

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Solution

The fourth proportional to 97,677.27, 134,788.11 and 54,649.30 is: 75,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,677.27 : 134,788.11 = 54,649.30 : x
  2. Step 2: Convert to fraction form
    97,677.27/134,788.11 = 54,649.30/x
  3. Step 3: Cross multiply
    97,677.27x = 134,788.11 × 54,649.30
  4. Step 4: Simplify right side
    97,677.27x = 7,366,075,386.26
  5. Step 5: Solve for x
    x = 7,366,075,386.26/97,677.27
  6. Step 6: Final answer
    x = 75,412.38

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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.