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Finding the Fourth Proportional to 76,509.99, 114,746.76 and 32,137.58

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Solution

The fourth proportional to 76,509.99, 114,746.76 and 32,137.58 is: 48,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.99 : 114,746.76 = 32,137.58 : x
  2. Step 2: Convert to fraction form
    76,509.99/114,746.76 = 32,137.58/x
  3. Step 3: Cross multiply
    76,509.99x = 114,746.76 × 32,137.58
  4. Step 4: Simplify right side
    76,509.99x = 3,687,683,466.11
  5. Step 5: Solve for x
    x = 3,687,683,466.11/76,509.99
  6. Step 6: Final answer
    x = 48,198.72

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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.