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Finding the Fourth Proportional to 97,317, 145,975.50 and 23,445

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Solution

The fourth proportional to 97,317, 145,975.50 and 23,445 is: 35,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,317 : 145,975.50 = 23,445 : x
  2. Step 2: Convert to fraction form
    97,317/145,975.50 = 23,445/x
  3. Step 3: Cross multiply
    97,317x = 145,975.50 × 23,445
  4. Step 4: Simplify right side
    97,317x = 3,422,395,597.50
  5. Step 5: Solve for x
    x = 3,422,395,597.50/97,317
  6. Step 6: Final answer
    x = 35,167.50

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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.