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Finding the Fourth Proportional to 30,271.28, 45,406.84 and 14,428.29

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Solution

The fourth proportional to 30,271.28, 45,406.84 and 14,428.29 is: 21,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.28 : 45,406.84 = 14,428.29 : x
  2. Step 2: Convert to fraction form
    30,271.28/45,406.84 = 14,428.29/x
  3. Step 3: Cross multiply
    30,271.28x = 45,406.84 × 14,428.29
  4. Step 4: Simplify right side
    30,271.28x = 655,143,055.50
  5. Step 5: Solve for x
    x = 655,143,055.50/30,271.28
  6. Step 6: Final answer
    x = 21,642.40

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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.