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Finding the Fourth Proportional to 82,407.36, 113,723 and 48,417.24

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Solution

The fourth proportional to 82,407.36, 113,723 and 48,417.24 is: 66,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.36 : 113,723 = 48,417.24 : x
  2. Step 2: Convert to fraction form
    82,407.36/113,723 = 48,417.24/x
  3. Step 3: Cross multiply
    82,407.36x = 113,723 × 48,417.24
  4. Step 4: Simplify right side
    82,407.36x = 5,506,153,784.52
  5. Step 5: Solve for x
    x = 5,506,153,784.52/82,407.36
  6. Step 6: Final answer
    x = 66,816.29

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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.