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Finding the Fourth Proportional to 98,058.96, 147,088.44 and 27,938.16

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Solution

The fourth proportional to 98,058.96, 147,088.44 and 27,938.16 is: 41,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058.96 : 147,088.44 = 27,938.16 : x
  2. Step 2: Convert to fraction form
    98,058.96/147,088.44 = 27,938.16/x
  3. Step 3: Cross multiply
    98,058.96x = 147,088.44 × 27,938.16
  4. Step 4: Simplify right side
    98,058.96x = 4,109,380,370.87
  5. Step 5: Solve for x
    x = 4,109,380,370.87/98,058.96
  6. Step 6: Final answer
    x = 41,907.24

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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.