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Finding the Fourth Proportional to 49,665.60, 74,435.04 and 23,312.16

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Solution

The fourth proportional to 49,665.60, 74,435.04 and 23,312.16 is: 34,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,665.60 : 74,435.04 = 23,312.16 : x
  2. Step 2: Convert to fraction form
    49,665.60/74,435.04 = 23,312.16/x
  3. Step 3: Cross multiply
    49,665.60x = 74,435.04 × 23,312.16
  4. Step 4: Simplify right side
    49,665.60x = 1,735,241,562.09
  5. Step 5: Solve for x
    x = 1,735,241,562.09/49,665.60
  6. Step 6: Final answer
    x = 34,938.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.