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Finding the Fourth Proportional to 64,701.28, 97,051.92 and 17,954.20

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Solution

The fourth proportional to 64,701.28, 97,051.92 and 17,954.20 is: 26,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701.28 : 97,051.92 = 17,954.20 : x
  2. Step 2: Convert to fraction form
    64,701.28/97,051.92 = 17,954.20/x
  3. Step 3: Cross multiply
    64,701.28x = 97,051.92 × 17,954.20
  4. Step 4: Simplify right side
    64,701.28x = 1,742,489,582.06
  5. Step 5: Solve for x
    x = 1,742,489,582.06/64,701.28
  6. Step 6: Final answer
    x = 26,931.30

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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.