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Finding the Fourth Proportional to 74,130.64, 102,298.82 and 42,294.40

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Solution

The fourth proportional to 74,130.64, 102,298.82 and 42,294.40 is: 58,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,130.64 : 102,298.82 = 42,294.40 : x
  2. Step 2: Convert to fraction form
    74,130.64/102,298.82 = 42,294.40/x
  3. Step 3: Cross multiply
    74,130.64x = 102,298.82 × 42,294.40
  4. Step 4: Simplify right side
    74,130.64x = 4,326,667,212.61
  5. Step 5: Solve for x
    x = 4,326,667,212.61/74,130.64
  6. Step 6: Final answer
    x = 58,365.44

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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.