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Finding the Fourth Proportional to 82,998.40, 114,537.90 and 45,273.28

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Solution

The fourth proportional to 82,998.40, 114,537.90 and 45,273.28 is: 62,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998.40 : 114,537.90 = 45,273.28 : x
  2. Step 2: Convert to fraction form
    82,998.40/114,537.90 = 45,273.28/x
  3. Step 3: Cross multiply
    82,998.40x = 114,537.90 × 45,273.28
  4. Step 4: Simplify right side
    82,998.40x = 5,185,506,417.31
  5. Step 5: Solve for x
    x = 5,185,506,417.31/82,998.40
  6. Step 6: Final answer
    x = 62,477.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.