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Finding the Fourth Proportional to 70,752.96, 106,041.96 and 35,702.64

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Solution

The fourth proportional to 70,752.96, 106,041.96 and 35,702.64 is: 53,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,752.96 : 106,041.96 = 35,702.64 : x
  2. Step 2: Convert to fraction form
    70,752.96/106,041.96 = 35,702.64/x
  3. Step 3: Cross multiply
    70,752.96x = 106,041.96 × 35,702.64
  4. Step 4: Simplify right side
    70,752.96x = 3,785,977,922.77
  5. Step 5: Solve for x
    x = 3,785,977,922.77/70,752.96
  6. Step 6: Final answer
    x = 53,509.82

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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.