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Finding the Fourth Proportional to 82,590.68, 113,971.32 and 46,295.24

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Solution

The fourth proportional to 82,590.68, 113,971.32 and 46,295.24 is: 63,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,590.68 : 113,971.32 = 46,295.24 : x
  2. Step 2: Convert to fraction form
    82,590.68/113,971.32 = 46,295.24/x
  3. Step 3: Cross multiply
    82,590.68x = 113,971.32 × 46,295.24
  4. Step 4: Simplify right side
    82,590.68x = 5,276,329,612.52
  5. Step 5: Solve for x
    x = 5,276,329,612.52/82,590.68
  6. Step 6: Final answer
    x = 63,885.29

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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.