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Finding the Fourth Proportional to 82,842.10, 114,323.40 and 45,116.32

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Solution

The fourth proportional to 82,842.10, 114,323.40 and 45,116.32 is: 62,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.10 : 114,323.40 = 45,116.32 : x
  2. Step 2: Convert to fraction form
    82,842.10/114,323.40 = 45,116.32/x
  3. Step 3: Cross multiply
    82,842.10x = 114,323.40 × 45,116.32
  4. Step 4: Simplify right side
    82,842.10x = 5,157,851,097.89
  5. Step 5: Solve for x
    x = 5,157,851,097.89/82,842.10
  6. Step 6: Final answer
    x = 62,261.23

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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.