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Finding the Fourth Proportional to 74,133.36, 102,304.14 and 42,312.54

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Solution

The fourth proportional to 74,133.36, 102,304.14 and 42,312.54 is: 58,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,133.36 : 102,304.14 = 42,312.54 : x
  2. Step 2: Convert to fraction form
    74,133.36/102,304.14 = 42,312.54/x
  3. Step 3: Cross multiply
    74,133.36x = 102,304.14 × 42,312.54
  4. Step 4: Simplify right side
    74,133.36x = 4,328,748,015.92
  5. Step 5: Solve for x
    x = 4,328,748,015.92/74,133.36
  6. Step 6: Final answer
    x = 58,391.36

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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.