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Finding the Fourth Proportional to 82,705.60, 124,057.68 and 23,533.48

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Solution

The fourth proportional to 82,705.60, 124,057.68 and 23,533.48 is: 35,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,705.60 : 124,057.68 = 23,533.48 : x
  2. Step 2: Convert to fraction form
    82,705.60/124,057.68 = 23,533.48/x
  3. Step 3: Cross multiply
    82,705.60x = 124,057.68 × 23,533.48
  4. Step 4: Simplify right side
    82,705.60x = 2,919,508,931.13
  5. Step 5: Solve for x
    x = 2,919,508,931.13/82,705.60
  6. Step 6: Final answer
    x = 35,300.02

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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.