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Finding the Fourth Proportional to 76,938.64, 106,174.92 and 42,945.16

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Solution

The fourth proportional to 76,938.64, 106,174.92 and 42,945.16 is: 59,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.64 : 106,174.92 = 42,945.16 : x
  2. Step 2: Convert to fraction form
    76,938.64/106,174.92 = 42,945.16/x
  3. Step 3: Cross multiply
    76,938.64x = 106,174.92 × 42,945.16
  4. Step 4: Simplify right side
    76,938.64x = 4,559,698,927.39
  5. Step 5: Solve for x
    x = 4,559,698,927.39/76,938.64
  6. Step 6: Final answer
    x = 59,264.10

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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.