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Finding the Fourth Proportional to 57,062.81, 85,547.84 and 23,807.65

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Solution

The fourth proportional to 57,062.81, 85,547.84 and 23,807.65 is: 35,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,062.81 : 85,547.84 = 23,807.65 : x
  2. Step 2: Convert to fraction form
    57,062.81/85,547.84 = 23,807.65/x
  3. Step 3: Cross multiply
    57,062.81x = 85,547.84 × 23,807.65
  4. Step 4: Simplify right side
    57,062.81x = 2,036,692,913.94
  5. Step 5: Solve for x
    x = 2,036,692,913.94/57,062.81
  6. Step 6: Final answer
    x = 35,692.13

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Why These Related Problems?

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