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Finding the Fourth Proportional to 76,985.60, 115,593.60 and 53,715.20

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Solution

The fourth proportional to 76,985.60, 115,593.60 and 53,715.20 is: 80,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,985.60 : 115,593.60 = 53,715.20 : x
  2. Step 2: Convert to fraction form
    76,985.60/115,593.60 = 53,715.20/x
  3. Step 3: Cross multiply
    76,985.60x = 115,593.60 × 53,715.20
  4. Step 4: Simplify right side
    76,985.60x = 6,209,133,342.72
  5. Step 5: Solve for x
    x = 6,209,133,342.72/76,985.60
  6. Step 6: Final answer
    x = 80,653.18

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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.