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Finding the Fourth Proportional to 29,693.94, 44,542.44 and 7,507.51

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Solution

The fourth proportional to 29,693.94, 44,542.44 and 7,507.51 is: 11,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.94 : 44,542.44 = 7,507.51 : x
  2. Step 2: Convert to fraction form
    29,693.94/44,542.44 = 7,507.51/x
  3. Step 3: Cross multiply
    29,693.94x = 44,542.44 × 7,507.51
  4. Step 4: Simplify right side
    29,693.94x = 334,402,813.72
  5. Step 5: Solve for x
    x = 334,402,813.72/29,693.94
  6. Step 6: Final answer
    x = 11,261.65

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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.