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Finding the Fourth Proportional to 82,298.66, 113,579.14 and 46,495.24

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Solution

The fourth proportional to 82,298.66, 113,579.14 and 46,495.24 is: 64,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298.66 : 113,579.14 = 46,495.24 : x
  2. Step 2: Convert to fraction form
    82,298.66/113,579.14 = 46,495.24/x
  3. Step 3: Cross multiply
    82,298.66x = 113,579.14 × 46,495.24
  4. Step 4: Simplify right side
    82,298.66x = 5,280,889,373.29
  5. Step 5: Solve for x
    x = 5,280,889,373.29/82,298.66
  6. Step 6: Final answer
    x = 64,167.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.