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Finding the Fourth Proportional to 64,701.14, 97,051.68 and 17,954

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Solution

The fourth proportional to 64,701.14, 97,051.68 and 17,954 is: 26,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701.14 : 97,051.68 = 17,954 : x
  2. Step 2: Convert to fraction form
    64,701.14/97,051.68 = 17,954/x
  3. Step 3: Cross multiply
    64,701.14x = 97,051.68 × 17,954
  4. Step 4: Simplify right side
    64,701.14x = 1,742,465,862.72
  5. Step 5: Solve for x
    x = 1,742,465,862.72/64,701.14
  6. Step 6: Final answer
    x = 26,930.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.