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Finding the Fourth Proportional to 70,637, 106,004.10 and 29,084

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Solution

The fourth proportional to 70,637, 106,004.10 and 29,084 is: 43,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,637 : 106,004.10 = 29,084 : x
  2. Step 2: Convert to fraction form
    70,637/106,004.10 = 29,084/x
  3. Step 3: Cross multiply
    70,637x = 106,004.10 × 29,084
  4. Step 4: Simplify right side
    70,637x = 3,083,023,244.40
  5. Step 5: Solve for x
    x = 3,083,023,244.40/70,637
  6. Step 6: Final answer
    x = 43,646.01

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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.