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Finding the Fourth Proportional to 34,944, 52,410.72 and 11,567.52

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Solution

The fourth proportional to 34,944, 52,410.72 and 11,567.52 is: 17,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,944 : 52,410.72 = 11,567.52 : x
  2. Step 2: Convert to fraction form
    34,944/52,410.72 = 11,567.52/x
  3. Step 3: Cross multiply
    34,944x = 52,410.72 × 11,567.52
  4. Step 4: Simplify right side
    34,944x = 606,262,051.81
  5. Step 5: Solve for x
    x = 606,262,051.81/34,944
  6. Step 6: Final answer
    x = 17,349.53

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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.