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Finding the Fourth Proportional to 56,346, 77,738.64 and 32,472.24

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Solution

The fourth proportional to 56,346, 77,738.64 and 32,472.24 is: 44,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,346 : 77,738.64 = 32,472.24 : x
  2. Step 2: Convert to fraction form
    56,346/77,738.64 = 32,472.24/x
  3. Step 3: Cross multiply
    56,346x = 77,738.64 × 32,472.24
  4. Step 4: Simplify right side
    56,346x = 2,524,347,775.35
  5. Step 5: Solve for x
    x = 2,524,347,775.35/56,346
  6. Step 6: Final answer
    x = 44,800.83

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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.