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Finding the Fourth Proportional to 76,586.64, 114,762.60 and 51,534

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Solution

The fourth proportional to 76,586.64, 114,762.60 and 51,534 is: 77,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,586.64 : 114,762.60 = 51,534 : x
  2. Step 2: Convert to fraction form
    76,586.64/114,762.60 = 51,534/x
  3. Step 3: Cross multiply
    76,586.64x = 114,762.60 × 51,534
  4. Step 4: Simplify right side
    76,586.64x = 5,914,175,828.40
  5. Step 5: Solve for x
    x = 5,914,175,828.40/76,586.64
  6. Step 6: Final answer
    x = 77,222.03

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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.