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Finding the Fourth Proportional to 76,807.32, 115,137 and 39,384.96

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Solution

The fourth proportional to 76,807.32, 115,137 and 39,384.96 is: 59,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.32 : 115,137 = 39,384.96 : x
  2. Step 2: Convert to fraction form
    76,807.32/115,137 = 39,384.96/x
  3. Step 3: Cross multiply
    76,807.32x = 115,137 × 39,384.96
  4. Step 4: Simplify right side
    76,807.32x = 4,534,666,139.52
  5. Step 5: Solve for x
    x = 4,534,666,139.52/76,807.32
  6. Step 6: Final answer
    x = 59,039.50

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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.