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Finding the Fourth Proportional to 95,152.96, 142,816 and 42,552.64

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Solution

The fourth proportional to 95,152.96, 142,816 and 42,552.64 is: 63,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,152.96 : 142,816 = 42,552.64 : x
  2. Step 2: Convert to fraction form
    95,152.96/142,816 = 42,552.64/x
  3. Step 3: Cross multiply
    95,152.96x = 142,816 × 42,552.64
  4. Step 4: Simplify right side
    95,152.96x = 6,077,197,834.24
  5. Step 5: Solve for x
    x = 6,077,197,834.24/95,152.96
  6. Step 6: Final answer
    x = 63,867.67

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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.