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Finding the Fourth Proportional to 70,506.16, 97,298.50 and 38,675.13

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Solution

The fourth proportional to 70,506.16, 97,298.50 and 38,675.13 is: 53,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.16 : 97,298.50 = 38,675.13 : x
  2. Step 2: Convert to fraction form
    70,506.16/97,298.50 = 38,675.13/x
  3. Step 3: Cross multiply
    70,506.16x = 97,298.50 × 38,675.13
  4. Step 4: Simplify right side
    70,506.16x = 3,763,032,136.31
  5. Step 5: Solve for x
    x = 3,763,032,136.31/70,506.16
  6. Step 6: Final answer
    x = 53,371.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.