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Finding the Fourth Proportional to 94,130, 141,208.16 and 27,574.96

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Solution

The fourth proportional to 94,130, 141,208.16 and 27,574.96 is: 41,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,130 : 141,208.16 = 27,574.96 : x
  2. Step 2: Convert to fraction form
    94,130/141,208.16 = 27,574.96/x
  3. Step 3: Cross multiply
    94,130x = 141,208.16 × 27,574.96
  4. Step 4: Simplify right side
    94,130x = 3,893,809,363.67
  5. Step 5: Solve for x
    x = 3,893,809,363.67/94,130
  6. Step 6: Final answer
    x = 41,366.30

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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.