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Finding the Fourth Proportional to 57,205.68, 85,807.28 and 15,652.68

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Solution

The fourth proportional to 57,205.68, 85,807.28 and 15,652.68 is: 23,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.68 : 85,807.28 = 15,652.68 : x
  2. Step 2: Convert to fraction form
    57,205.68/85,807.28 = 15,652.68/x
  3. Step 3: Cross multiply
    57,205.68x = 85,807.28 × 15,652.68
  4. Step 4: Simplify right side
    57,205.68x = 1,343,113,895.51
  5. Step 5: Solve for x
    x = 1,343,113,895.51/57,205.68
  6. Step 6: Final answer
    x = 23,478.68

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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.