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Finding the Fourth Proportional to 97,316.25, 145,974.51 and 23,444.25

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Solution

The fourth proportional to 97,316.25, 145,974.51 and 23,444.25 is: 35,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,316.25 : 145,974.51 = 23,444.25 : x
  2. Step 2: Convert to fraction form
    97,316.25/145,974.51 = 23,444.25/x
  3. Step 3: Cross multiply
    97,316.25x = 145,974.51 × 23,444.25
  4. Step 4: Simplify right side
    97,316.25x = 3,422,262,906.07
  5. Step 5: Solve for x
    x = 3,422,262,906.07/97,316.25
  6. Step 6: Final answer
    x = 35,166.41

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1.5x scale

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.