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Finding the Fourth Proportional to 97,666, 134,779.08 and 52,954

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Solution

The fourth proportional to 97,666, 134,779.08 and 52,954 is: 73,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,666 : 134,779.08 = 52,954 : x
  2. Step 2: Convert to fraction form
    97,666/134,779.08 = 52,954/x
  3. Step 3: Cross multiply
    97,666x = 134,779.08 × 52,954
  4. Step 4: Simplify right side
    97,666x = 7,137,091,402.32
  5. Step 5: Solve for x
    x = 7,137,091,402.32/97,666
  6. Step 6: Final answer
    x = 73,076.52

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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.