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Finding the Fourth Proportional to 30,101.88, 45,159.30 and 14,312.28

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Solution

The fourth proportional to 30,101.88, 45,159.30 and 14,312.28 is: 21,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.88 : 45,159.30 = 14,312.28 : x
  2. Step 2: Convert to fraction form
    30,101.88/45,159.30 = 14,312.28/x
  3. Step 3: Cross multiply
    30,101.88x = 45,159.30 × 14,312.28
  4. Step 4: Simplify right side
    30,101.88x = 646,332,546.20
  5. Step 5: Solve for x
    x = 646,332,546.20/30,101.88
  6. Step 6: Final answer
    x = 21,471.50

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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.