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Finding the Fourth Proportional to 47,206.40, 70,814.72 and 17,638.40

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Solution

The fourth proportional to 47,206.40, 70,814.72 and 17,638.40 is: 26,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.40 : 70,814.72 = 17,638.40 : x
  2. Step 2: Convert to fraction form
    47,206.40/70,814.72 = 17,638.40/x
  3. Step 3: Cross multiply
    47,206.40x = 70,814.72 × 17,638.40
  4. Step 4: Simplify right side
    47,206.40x = 1,249,058,357.25
  5. Step 5: Solve for x
    x = 1,249,058,357.25/47,206.40
  6. Step 6: Final answer
    x = 26,459.51

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