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Finding the Fourth Proportional to 74,178.16, 102,369.96 and 42,357.28

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Solution

The fourth proportional to 74,178.16, 102,369.96 and 42,357.28 is: 58,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,178.16 : 102,369.96 = 42,357.28 : x
  2. Step 2: Convert to fraction form
    74,178.16/102,369.96 = 42,357.28/x
  3. Step 3: Cross multiply
    74,178.16x = 102,369.96 × 42,357.28
  4. Step 4: Simplify right side
    74,178.16x = 4,336,113,059.31
  5. Step 5: Solve for x
    x = 4,336,113,059.31/74,178.16
  6. Step 6: Final answer
    x = 58,455.39

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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.