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Finding the Fourth Proportional to 32,953.68, 49,435.34 and 9,577.08

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Solution

The fourth proportional to 32,953.68, 49,435.34 and 9,577.08 is: 14,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.68 : 49,435.34 = 9,577.08 : x
  2. Step 2: Convert to fraction form
    32,953.68/49,435.34 = 9,577.08/x
  3. Step 3: Cross multiply
    32,953.68x = 49,435.34 × 9,577.08
  4. Step 4: Simplify right side
    32,953.68x = 473,446,206.01
  5. Step 5: Solve for x
    x = 473,446,206.01/32,953.68
  6. Step 6: Final answer
    x = 14,367.02

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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.