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Finding the Fourth Proportional to 70,032.80, 105,050.10 and 23,285.68

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Solution

The fourth proportional to 70,032.80, 105,050.10 and 23,285.68 is: 34,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,032.80 : 105,050.10 = 23,285.68 : x
  2. Step 2: Convert to fraction form
    70,032.80/105,050.10 = 23,285.68/x
  3. Step 3: Cross multiply
    70,032.80x = 105,050.10 × 23,285.68
  4. Step 4: Simplify right side
    70,032.80x = 2,446,162,837.26
  5. Step 5: Solve for x
    x = 2,446,162,837.26/70,032.80
  6. Step 6: Final answer
    x = 34,928.82

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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.