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Finding the Fourth Proportional to 97,054.68, 145,586.16 and 33,881.16

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Solution

The fourth proportional to 97,054.68, 145,586.16 and 33,881.16 is: 50,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,054.68 : 145,586.16 = 33,881.16 : x
  2. Step 2: Convert to fraction form
    97,054.68/145,586.16 = 33,881.16/x
  3. Step 3: Cross multiply
    97,054.68x = 145,586.16 × 33,881.16
  4. Step 4: Simplify right side
    97,054.68x = 4,932,627,980.75
  5. Step 5: Solve for x
    x = 4,932,627,980.75/97,054.68
  6. Step 6: Final answer
    x = 50,823.19

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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.