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Finding the Fourth Proportional to 76,752.96, 115,155.59 and 46,827.11

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Solution

The fourth proportional to 76,752.96, 115,155.59 and 46,827.11 is: 70,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.96 : 115,155.59 = 46,827.11 : x
  2. Step 2: Convert to fraction form
    76,752.96/115,155.59 = 46,827.11/x
  3. Step 3: Cross multiply
    76,752.96x = 115,155.59 × 46,827.11
  4. Step 4: Simplify right side
    76,752.96x = 5,392,403,245.91
  5. Step 5: Solve for x
    x = 5,392,403,245.91/76,752.96
  6. Step 6: Final answer
    x = 70,256.62

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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.