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Finding the Fourth Proportional to 74,530.42, 102,855.58 and 42,699.38

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Solution

The fourth proportional to 74,530.42, 102,855.58 and 42,699.38 is: 58,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,530.42 : 102,855.58 = 42,699.38 : x
  2. Step 2: Convert to fraction form
    74,530.42/102,855.58 = 42,699.38/x
  3. Step 3: Cross multiply
    74,530.42x = 102,855.58 × 42,699.38
  4. Step 4: Simplify right side
    74,530.42x = 4,391,869,495.54
  5. Step 5: Solve for x
    x = 4,391,869,495.54/74,530.42
  6. Step 6: Final answer
    x = 58,927.21

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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.