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Finding the Fourth Proportional to 30,950.59, 46,426.80 and 7,577.03

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Solution

The fourth proportional to 30,950.59, 46,426.80 and 7,577.03 is: 11,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.59 : 46,426.80 = 7,577.03 : x
  2. Step 2: Convert to fraction form
    30,950.59/46,426.80 = 7,577.03/x
  3. Step 3: Cross multiply
    30,950.59x = 46,426.80 × 7,577.03
  4. Step 4: Simplify right side
    30,950.59x = 351,777,256.40
  5. Step 5: Solve for x
    x = 351,777,256.40/30,950.59
  6. Step 6: Final answer
    x = 11,365.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.