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Finding the Fourth Proportional to 74,154.34, 102,340.32 and 42,328.02

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Solution

The fourth proportional to 74,154.34, 102,340.32 and 42,328.02 is: 58,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154.34 : 102,340.32 = 42,328.02 : x
  2. Step 2: Convert to fraction form
    74,154.34/102,340.32 = 42,328.02/x
  3. Step 3: Cross multiply
    74,154.34x = 102,340.32 × 42,328.02
  4. Step 4: Simplify right side
    74,154.34x = 4,331,863,111.77
  5. Step 5: Solve for x
    x = 4,331,863,111.77/74,154.34
  6. Step 6: Final answer
    x = 58,416.86

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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.