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Finding the Fourth Proportional to 47,317.90, 70,829.16 and 34,852

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Solution

The fourth proportional to 47,317.90, 70,829.16 and 34,852 is: 52,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,317.90 : 70,829.16 = 34,852 : x
  2. Step 2: Convert to fraction form
    47,317.90/70,829.16 = 34,852/x
  3. Step 3: Cross multiply
    47,317.90x = 70,829.16 × 34,852
  4. Step 4: Simplify right side
    47,317.90x = 2,468,537,884.32
  5. Step 5: Solve for x
    x = 2,468,537,884.32/47,317.90
  6. Step 6: Final answer
    x = 52,169.22

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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.