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Finding the Fourth Proportional to 30,461.63, 45,673.00 and 14,635.17

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Solution

The fourth proportional to 30,461.63, 45,673.00 and 14,635.17 is: 21,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.63 : 45,673.00 = 14,635.17 : x
  2. Step 2: Convert to fraction form
    30,461.63/45,673.00 = 14,635.17/x
  3. Step 3: Cross multiply
    30,461.63x = 45,673.00 × 14,635.17
  4. Step 4: Simplify right side
    30,461.63x = 668,432,082.82
  5. Step 5: Solve for x
    x = 668,432,082.82/30,461.63
  6. Step 6: Final answer
    x = 21,943.42

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1.5x scale

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.