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Finding the Fourth Proportional to 56,307.48, 77,703.12 and 30,813.75

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Solution

The fourth proportional to 56,307.48, 77,703.12 and 30,813.75 is: 42,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,307.48 : 77,703.12 = 30,813.75 : x
  2. Step 2: Convert to fraction form
    56,307.48/77,703.12 = 30,813.75/x
  3. Step 3: Cross multiply
    56,307.48x = 77,703.12 × 30,813.75
  4. Step 4: Simplify right side
    56,307.48x = 2,394,324,513.90
  5. Step 5: Solve for x
    x = 2,394,324,513.90/56,307.48
  6. Step 6: Final answer
    x = 42,522.32

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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.