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Finding the Fourth Proportional to 97,094, 145,697.60 and 40,930.64

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Solution

The fourth proportional to 97,094, 145,697.60 and 40,930.64 is: 61,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,094 : 145,697.60 = 40,930.64 : x
  2. Step 2: Convert to fraction form
    97,094/145,697.60 = 40,930.64/x
  3. Step 3: Cross multiply
    97,094x = 145,697.60 × 40,930.64
  4. Step 4: Simplify right side
    97,094x = 5,963,496,014.46
  5. Step 5: Solve for x
    x = 5,963,496,014.46/97,094
  6. Step 6: Final answer
    x = 61,419.82

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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.