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Finding the Fourth Proportional to 64,846.16, 97,210.90 and 23,283.44

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Solution

The fourth proportional to 64,846.16, 97,210.90 and 23,283.44 is: 34,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,846.16 : 97,210.90 = 23,283.44 : x
  2. Step 2: Convert to fraction form
    64,846.16/97,210.90 = 23,283.44/x
  3. Step 3: Cross multiply
    64,846.16x = 97,210.90 × 23,283.44
  4. Step 4: Simplify right side
    64,846.16x = 2,263,404,157.50
  5. Step 5: Solve for x
    x = 2,263,404,157.50/64,846.16
  6. Step 6: Final answer
    x = 34,904.21

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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.