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Finding the Fourth Proportional to 30,461.42, 42,036.48 and 16,849.46

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Solution

The fourth proportional to 30,461.42, 42,036.48 and 16,849.46 is: 23,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.42 : 42,036.48 = 16,849.46 : x
  2. Step 2: Convert to fraction form
    30,461.42/42,036.48 = 16,849.46/x
  3. Step 3: Cross multiply
    30,461.42x = 42,036.48 × 16,849.46
  4. Step 4: Simplify right side
    30,461.42x = 708,291,988.30
  5. Step 5: Solve for x
    x = 708,291,988.30/30,461.42
  6. Step 6: Final answer
    x = 23,252.10

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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.