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Finding the Fourth Proportional to 114,851.52, 172,232.16 and 48,323.52

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Solution

The fourth proportional to 114,851.52, 172,232.16 and 48,323.52 is: 72,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,851.52 : 172,232.16 = 48,323.52 : x
  2. Step 2: Convert to fraction form
    114,851.52/172,232.16 = 48,323.52/x
  3. Step 3: Cross multiply
    114,851.52x = 172,232.16 × 48,323.52
  4. Step 4: Simplify right side
    114,851.52x = 8,322,864,228.40
  5. Step 5: Solve for x
    x = 8,322,864,228.40/114,851.52
  6. Step 6: Final answer
    x = 72,466.30

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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.