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Finding the Fourth Proportional to 32,547.44, 48,820.08 and 22,022.30

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Solution

The fourth proportional to 32,547.44, 48,820.08 and 22,022.30 is: 33,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.44 : 48,820.08 = 22,022.30 : x
  2. Step 2: Convert to fraction form
    32,547.44/48,820.08 = 22,022.30/x
  3. Step 3: Cross multiply
    32,547.44x = 48,820.08 × 22,022.30
  4. Step 4: Simplify right side
    32,547.44x = 1,075,130,447.78
  5. Step 5: Solve for x
    x = 1,075,130,447.78/32,547.44
  6. Step 6: Final answer
    x = 33,032.72

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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.