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Finding the Fourth Proportional to 76,497.68, 114,664.48 and 37,000.46

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Solution

The fourth proportional to 76,497.68, 114,664.48 and 37,000.46 is: 55,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.68 : 114,664.48 = 37,000.46 : x
  2. Step 2: Convert to fraction form
    76,497.68/114,664.48 = 37,000.46/x
  3. Step 3: Cross multiply
    76,497.68x = 114,664.48 × 37,000.46
  4. Step 4: Simplify right side
    76,497.68x = 4,242,638,505.66
  5. Step 5: Solve for x
    x = 4,242,638,505.66/76,497.68
  6. Step 6: Final answer
    x = 55,461.01

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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.