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Finding the Fourth Proportional to 30,724.88, 46,094.04 and 9,950.48

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Solution

The fourth proportional to 30,724.88, 46,094.04 and 9,950.48 is: 14,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.88 : 46,094.04 = 9,950.48 : x
  2. Step 2: Convert to fraction form
    30,724.88/46,094.04 = 9,950.48/x
  3. Step 3: Cross multiply
    30,724.88x = 46,094.04 × 9,950.48
  4. Step 4: Simplify right side
    30,724.88x = 458,657,823.14
  5. Step 5: Solve for x
    x = 458,657,823.14/30,724.88
  6. Step 6: Final answer
    x = 14,927.90

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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.