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Finding the Fourth Proportional to 82,645.68, 114,048.62 and 46,839

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Solution

The fourth proportional to 82,645.68, 114,048.62 and 46,839 is: 64,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,645.68 : 114,048.62 = 46,839 : x
  2. Step 2: Convert to fraction form
    82,645.68/114,048.62 = 46,839/x
  3. Step 3: Cross multiply
    82,645.68x = 114,048.62 × 46,839
  4. Step 4: Simplify right side
    82,645.68x = 5,341,923,312.18
  5. Step 5: Solve for x
    x = 5,341,923,312.18/82,645.68
  6. Step 6: Final answer
    x = 64,636.45

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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.