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Finding the Fourth Proportional to 30,748.40, 42,125.49 and 29,596.58

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Solution

The fourth proportional to 30,748.40, 42,125.49 and 29,596.58 is: 40,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.40 : 42,125.49 = 29,596.58 : x
  2. Step 2: Convert to fraction form
    30,748.40/42,125.49 = 29,596.58/x
  3. Step 3: Cross multiply
    30,748.40x = 42,125.49 × 29,596.58
  4. Step 4: Simplify right side
    30,748.40x = 1,246,770,434.82
  5. Step 5: Solve for x
    x = 1,246,770,434.82/30,748.40
  6. Step 6: Final answer
    x = 40,547.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.