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Finding the Fourth Proportional to 30,356.47, 45,558.10 and 19,823.64

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Solution

The fourth proportional to 30,356.47, 45,558.10 and 19,823.64 is: 29,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356.47 : 45,558.10 = 19,823.64 : x
  2. Step 2: Convert to fraction form
    30,356.47/45,558.10 = 19,823.64/x
  3. Step 3: Cross multiply
    30,356.47x = 45,558.10 × 19,823.64
  4. Step 4: Simplify right side
    30,356.47x = 903,127,115.91
  5. Step 5: Solve for x
    x = 903,127,115.91/30,356.47
  6. Step 6: Final answer
    x = 29,750.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.