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Finding the Fourth Proportional to 114,303.91, 171,464.10 and 39,423

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Solution

The fourth proportional to 114,303.91, 171,464.10 and 39,423 is: 59,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,303.91 : 171,464.10 = 39,423 : x
  2. Step 2: Convert to fraction form
    114,303.91/171,464.10 = 39,423/x
  3. Step 3: Cross multiply
    114,303.91x = 171,464.10 × 39,423
  4. Step 4: Simplify right side
    114,303.91x = 6,759,629,214.30
  5. Step 5: Solve for x
    x = 6,759,629,214.30/114,303.91
  6. Step 6: Final answer
    x = 59,137.34

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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.