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Finding the Fourth Proportional to 64,767.40, 97,125.50 and 31,477.60

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Solution

The fourth proportional to 64,767.40, 97,125.50 and 31,477.60 is: 47,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,767.40 : 97,125.50 = 31,477.60 : x
  2. Step 2: Convert to fraction form
    64,767.40/97,125.50 = 31,477.60/x
  3. Step 3: Cross multiply
    64,767.40x = 97,125.50 × 31,477.60
  4. Step 4: Simplify right side
    64,767.40x = 3,057,277,638.80
  5. Step 5: Solve for x
    x = 3,057,277,638.80/64,767.40
  6. Step 6: Final answer
    x = 47,203.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.