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Finding the Fourth Proportional to 89,655.95, 123,683.66 and 57,835.10

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Solution

The fourth proportional to 89,655.95, 123,683.66 and 57,835.10 is: 79,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,655.95 : 123,683.66 = 57,835.10 : x
  2. Step 2: Convert to fraction form
    89,655.95/123,683.66 = 57,835.10/x
  3. Step 3: Cross multiply
    89,655.95x = 123,683.66 × 57,835.10
  4. Step 4: Simplify right side
    89,655.95x = 7,153,257,081.38
  5. Step 5: Solve for x
    x = 7,153,257,081.38/89,655.95
  6. Step 6: Final answer
    x = 79,785.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.