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Finding the Fourth Proportional to 30,139.44, 45,143.40 and 18,417.12

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Solution

The fourth proportional to 30,139.44, 45,143.40 and 18,417.12 is: 27,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139.44 : 45,143.40 = 18,417.12 : x
  2. Step 2: Convert to fraction form
    30,139.44/45,143.40 = 18,417.12/x
  3. Step 3: Cross multiply
    30,139.44x = 45,143.40 × 18,417.12
  4. Step 4: Simplify right side
    30,139.44x = 831,411,415.01
  5. Step 5: Solve for x
    x = 831,411,415.01/30,139.44
  6. Step 6: Final answer
    x = 27,585.50

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Why These Related Problems?

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