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Finding the Fourth Proportional to 65,212.60, 97,673.10 and 56,464.60

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Solution

The fourth proportional to 65,212.60, 97,673.10 and 56,464.60 is: 84,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.60 : 97,673.10 = 56,464.60 : x
  2. Step 2: Convert to fraction form
    65,212.60/97,673.10 = 56,464.60/x
  3. Step 3: Cross multiply
    65,212.60x = 97,673.10 × 56,464.60
  4. Step 4: Simplify right side
    65,212.60x = 5,515,072,522.26
  5. Step 5: Solve for x
    x = 5,515,072,522.26/65,212.60
  6. Step 6: Final answer
    x = 84,570.66

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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.