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Finding the Fourth Proportional to 78,380.40, 108,164.52 and 42,570.12

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Solution

The fourth proportional to 78,380.40, 108,164.52 and 42,570.12 is: 58,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,380.40 : 108,164.52 = 42,570.12 : x
  2. Step 2: Convert to fraction form
    78,380.40/108,164.52 = 42,570.12/x
  3. Step 3: Cross multiply
    78,380.40x = 108,164.52 × 42,570.12
  4. Step 4: Simplify right side
    78,380.40x = 4,604,576,596.14
  5. Step 5: Solve for x
    x = 4,604,576,596.14/78,380.40
  6. Step 6: Final answer
    x = 58,746.53

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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.