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Finding the Fourth Proportional to 30,577.74, 45,873.84 and 9,516.80

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Solution

The fourth proportional to 30,577.74, 45,873.84 and 9,516.80 is: 14,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.74 : 45,873.84 = 9,516.80 : x
  2. Step 2: Convert to fraction form
    30,577.74/45,873.84 = 9,516.80/x
  3. Step 3: Cross multiply
    30,577.74x = 45,873.84 × 9,516.80
  4. Step 4: Simplify right side
    30,577.74x = 436,572,160.51
  5. Step 5: Solve for x
    x = 436,572,160.51/30,577.74
  6. Step 6: Final answer
    x = 14,277.45

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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.