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Finding the Fourth Proportional to 82,216.16, 113,457.84 and 46,404.32

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Solution

The fourth proportional to 82,216.16, 113,457.84 and 46,404.32 is: 64,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.16 : 113,457.84 = 46,404.32 : x
  2. Step 2: Convert to fraction form
    82,216.16/113,457.84 = 46,404.32/x
  3. Step 3: Cross multiply
    82,216.16x = 113,457.84 × 46,404.32
  4. Step 4: Simplify right side
    82,216.16x = 5,264,933,913.87
  5. Step 5: Solve for x
    x = 5,264,933,913.87/82,216.16
  6. Step 6: Final answer
    x = 64,037.70

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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.