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Finding the Fourth Proportional to 189,689.72, 284,527.76 and 47,536.14

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Solution

The fourth proportional to 189,689.72, 284,527.76 and 47,536.14 is: 71,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,689.72 : 284,527.76 = 47,536.14 : x
  2. Step 2: Convert to fraction form
    189,689.72/284,527.76 = 47,536.14/x
  3. Step 3: Cross multiply
    189,689.72x = 284,527.76 × 47,536.14
  4. Step 4: Simplify right side
    189,689.72x = 13,525,351,433.25
  5. Step 5: Solve for x
    x = 13,525,351,433.25/189,689.72
  6. Step 6: Final answer
    x = 71,302.50

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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.