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Finding the Fourth Proportional to 30,496, 42,090.24 and 17,927.68

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Solution

The fourth proportional to 30,496, 42,090.24 and 17,927.68 is: 24,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496 : 42,090.24 = 17,927.68 : x
  2. Step 2: Convert to fraction form
    30,496/42,090.24 = 17,927.68/x
  3. Step 3: Cross multiply
    30,496x = 42,090.24 × 17,927.68
  4. Step 4: Simplify right side
    30,496x = 754,580,353.84
  5. Step 5: Solve for x
    x = 754,580,353.84/30,496
  6. Step 6: Final answer
    x = 24,743.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.