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Finding the Fourth Proportional to 56,776.34, 78,344.25 and 32,902.58

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Solution

The fourth proportional to 56,776.34, 78,344.25 and 32,902.58 is: 45,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,776.34 : 78,344.25 = 32,902.58 : x
  2. Step 2: Convert to fraction form
    56,776.34/78,344.25 = 32,902.58/x
  3. Step 3: Cross multiply
    56,776.34x = 78,344.25 × 32,902.58
  4. Step 4: Simplify right side
    56,776.34x = 2,577,727,953.17
  5. Step 5: Solve for x
    x = 2,577,727,953.17/56,776.34
  6. Step 6: Final answer
    x = 45,401.45

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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.