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Finding the Fourth Proportional to 82,041.72, 113,214.36 and 46,239

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Solution

The fourth proportional to 82,041.72, 113,214.36 and 46,239 is: 63,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.72 : 113,214.36 = 46,239 : x
  2. Step 2: Convert to fraction form
    82,041.72/113,214.36 = 46,239/x
  3. Step 3: Cross multiply
    82,041.72x = 113,214.36 × 46,239
  4. Step 4: Simplify right side
    82,041.72x = 5,234,918,792.04
  5. Step 5: Solve for x
    x = 5,234,918,792.04/82,041.72
  6. Step 6: Final answer
    x = 63,808.01

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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.