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Finding the Fourth Proportional to 74,206.96, 102,410.64 and 41,930.40

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Solution

The fourth proportional to 74,206.96, 102,410.64 and 41,930.40 is: 57,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,206.96 : 102,410.64 = 41,930.40 : x
  2. Step 2: Convert to fraction form
    74,206.96/102,410.64 = 41,930.40/x
  3. Step 3: Cross multiply
    74,206.96x = 102,410.64 × 41,930.40
  4. Step 4: Simplify right side
    74,206.96x = 4,294,119,099.46
  5. Step 5: Solve for x
    x = 4,294,119,099.46/74,206.96
  6. Step 6: Final answer
    x = 57,866.80

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1.5x scale

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.