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Finding the Fourth Proportional to 82,730.80, 124,059.74 and 23,553.01

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Solution

The fourth proportional to 82,730.80, 124,059.74 and 23,553.01 is: 35,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.80 : 124,059.74 = 23,553.01 : x
  2. Step 2: Convert to fraction form
    82,730.80/124,059.74 = 23,553.01/x
  3. Step 3: Cross multiply
    82,730.80x = 124,059.74 × 23,553.01
  4. Step 4: Simplify right side
    82,730.80x = 2,921,980,296.82
  5. Step 5: Solve for x
    x = 2,921,980,296.82/82,730.80
  6. Step 6: Final answer
    x = 35,319.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.