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Finding the Fourth Proportional to 82,210.48, 113,450 and 46,412.12

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Solution

The fourth proportional to 82,210.48, 113,450 and 46,412.12 is: 64,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.48 : 113,450 = 46,412.12 : x
  2. Step 2: Convert to fraction form
    82,210.48/113,450 = 46,412.12/x
  3. Step 3: Cross multiply
    82,210.48x = 113,450 × 46,412.12
  4. Step 4: Simplify right side
    82,210.48x = 5,265,455,014
  5. Step 5: Solve for x
    x = 5,265,455,014/82,210.48
  6. Step 6: Final answer
    x = 64,048.46

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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.