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Finding the Fourth Proportional to 97,598, 146,397.08 and 27,477.32

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Solution

The fourth proportional to 97,598, 146,397.08 and 27,477.32 is: 41,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,598 : 146,397.08 = 27,477.32 : x
  2. Step 2: Convert to fraction form
    97,598/146,397.08 = 27,477.32/x
  3. Step 3: Cross multiply
    97,598x = 146,397.08 × 27,477.32
  4. Step 4: Simplify right side
    97,598x = 4,022,599,414.23
  5. Step 5: Solve for x
    x = 4,022,599,414.23/97,598
  6. Step 6: Final answer
    x = 41,216.00

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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.