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Finding the Fourth Proportional to 30,965.61, 46,449.29 and 7,592.02

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Solution

The fourth proportional to 30,965.61, 46,449.29 and 7,592.02 is: 11,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.61 : 46,449.29 = 7,592.02 : x
  2. Step 2: Convert to fraction form
    30,965.61/46,449.29 = 7,592.02/x
  3. Step 3: Cross multiply
    30,965.61x = 46,449.29 × 7,592.02
  4. Step 4: Simplify right side
    30,965.61x = 352,643,938.67
  5. Step 5: Solve for x
    x = 352,643,938.67/30,965.61
  6. Step 6: Final answer
    x = 11,388.24

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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.