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Finding the Fourth Proportional to 52,029.40, 77,928.90 and 42,813.40

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Solution

The fourth proportional to 52,029.40, 77,928.90 and 42,813.40 is: 64,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029.40 : 77,928.90 = 42,813.40 : x
  2. Step 2: Convert to fraction form
    52,029.40/77,928.90 = 42,813.40/x
  3. Step 3: Cross multiply
    52,029.40x = 77,928.90 × 42,813.40
  4. Step 4: Simplify right side
    52,029.40x = 3,336,401,167.26
  5. Step 5: Solve for x
    x = 3,336,401,167.26/52,029.40
  6. Step 6: Final answer
    x = 64,125.31

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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.