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Finding the Fourth Proportional to 30,256.88, 45,389.64 and 9,482

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Solution

The fourth proportional to 30,256.88, 45,389.64 and 9,482 is: 14,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.88 : 45,389.64 = 9,482 : x
  2. Step 2: Convert to fraction form
    30,256.88/45,389.64 = 9,482/x
  3. Step 3: Cross multiply
    30,256.88x = 45,389.64 × 9,482
  4. Step 4: Simplify right side
    30,256.88x = 430,384,566.48
  5. Step 5: Solve for x
    x = 430,384,566.48/30,256.88
  6. Step 6: Final answer
    x = 14,224.35

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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.