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Finding the Fourth Proportional to 30,347.31, 45,460.88 and 14,314.89

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Solution

The fourth proportional to 30,347.31, 45,460.88 and 14,314.89 is: 21,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347.31 : 45,460.88 = 14,314.89 : x
  2. Step 2: Convert to fraction form
    30,347.31/45,460.88 = 14,314.89/x
  3. Step 3: Cross multiply
    30,347.31x = 45,460.88 × 14,314.89
  4. Step 4: Simplify right side
    30,347.31x = 650,767,496.50
  5. Step 5: Solve for x
    x = 650,767,496.50/30,347.31
  6. Step 6: Final answer
    x = 21,443.99

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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.