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Finding the Fourth Proportional to 76,312.64, 105,316.85 and 42,324.38

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Solution

The fourth proportional to 76,312.64, 105,316.85 and 42,324.38 is: 58,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312.64 : 105,316.85 = 42,324.38 : x
  2. Step 2: Convert to fraction form
    76,312.64/105,316.85 = 42,324.38/x
  3. Step 3: Cross multiply
    76,312.64x = 105,316.85 × 42,324.38
  4. Step 4: Simplify right side
    76,312.64x = 4,457,469,641.60
  5. Step 5: Solve for x
    x = 4,457,469,641.60/76,312.64
  6. Step 6: Final answer
    x = 58,410.64

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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.