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Finding the Fourth Proportional to 82,308.96, 113,585.76 and 46,498.32

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Solution

The fourth proportional to 82,308.96, 113,585.76 and 46,498.32 is: 64,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,308.96 : 113,585.76 = 46,498.32 : x
  2. Step 2: Convert to fraction form
    82,308.96/113,585.76 = 46,498.32/x
  3. Step 3: Cross multiply
    82,308.96x = 113,585.76 × 46,498.32
  4. Step 4: Simplify right side
    82,308.96x = 5,281,547,015.92
  5. Step 5: Solve for x
    x = 5,281,547,015.92/82,308.96
  6. Step 6: Final answer
    x = 64,167.34

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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.