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Finding the Fourth Proportional to 97,356.51, 145,965.74 and 43,291.64

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Solution

The fourth proportional to 97,356.51, 145,965.74 and 43,291.64 is: 64,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356.51 : 145,965.74 = 43,291.64 : x
  2. Step 2: Convert to fraction form
    97,356.51/145,965.74 = 43,291.64/x
  3. Step 3: Cross multiply
    97,356.51x = 145,965.74 × 43,291.64
  4. Step 4: Simplify right side
    97,356.51x = 6,319,096,268.41
  5. Step 5: Solve for x
    x = 6,319,096,268.41/97,356.51
  6. Step 6: Final answer
    x = 64,906.77

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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.