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Finding the Fourth Proportional to 74,189.84, 102,417.47 and 42,352.59

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Solution

The fourth proportional to 74,189.84, 102,417.47 and 42,352.59 is: 58,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,189.84 : 102,417.47 = 42,352.59 : x
  2. Step 2: Convert to fraction form
    74,189.84/102,417.47 = 42,352.59/x
  3. Step 3: Cross multiply
    74,189.84x = 102,417.47 × 42,352.59
  4. Step 4: Simplify right side
    74,189.84x = 4,337,644,903.98
  5. Step 5: Solve for x
    x = 4,337,644,903.98/74,189.84
  6. Step 6: Final answer
    x = 58,466.84

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