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Finding the Fourth Proportional to 34,368, 51,558.48 and 9,744

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Solution

The fourth proportional to 34,368, 51,558.48 and 9,744 is: 14,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,368 : 51,558.48 = 9,744 : x
  2. Step 2: Convert to fraction form
    34,368/51,558.48 = 9,744/x
  3. Step 3: Cross multiply
    34,368x = 51,558.48 × 9,744
  4. Step 4: Simplify right side
    34,368x = 502,385,829.12
  5. Step 5: Solve for x
    x = 502,385,829.12/34,368
  6. Step 6: Final answer
    x = 14,617.84

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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.