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Finding the Fourth Proportional to 30,530.10, 42,130.28 and 17,101.14

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Solution

The fourth proportional to 30,530.10, 42,130.28 and 17,101.14 is: 23,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.10 : 42,130.28 = 17,101.14 : x
  2. Step 2: Convert to fraction form
    30,530.10/42,130.28 = 17,101.14/x
  3. Step 3: Cross multiply
    30,530.10x = 42,130.28 × 17,101.14
  4. Step 4: Simplify right side
    30,530.10x = 720,475,816.52
  5. Step 5: Solve for x
    x = 720,475,816.52/30,530.10
  6. Step 6: Final answer
    x = 23,598.87

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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.