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Finding the Fourth Proportional to 74,360.32, 102,665.28 and 46,096

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Solution

The fourth proportional to 74,360.32, 102,665.28 and 46,096 is: 63,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,360.32 : 102,665.28 = 46,096 : x
  2. Step 2: Convert to fraction form
    74,360.32/102,665.28 = 46,096/x
  3. Step 3: Cross multiply
    74,360.32x = 102,665.28 × 46,096
  4. Step 4: Simplify right side
    74,360.32x = 4,732,458,746.88
  5. Step 5: Solve for x
    x = 4,732,458,746.88/74,360.32
  6. Step 6: Final answer
    x = 63,642.26

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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.