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Finding the Fourth Proportional to 74,270.98, 102,492.14 and 42,437.82

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Solution

The fourth proportional to 74,270.98, 102,492.14 and 42,437.82 is: 58,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,270.98 : 102,492.14 = 42,437.82 : x
  2. Step 2: Convert to fraction form
    74,270.98/102,492.14 = 42,437.82/x
  3. Step 3: Cross multiply
    74,270.98x = 102,492.14 × 42,437.82
  4. Step 4: Simplify right side
    74,270.98x = 4,349,542,988.73
  5. Step 5: Solve for x
    x = 4,349,542,988.73/74,270.98
  6. Step 6: Final answer
    x = 58,563.16

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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.