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Finding the Fourth Proportional to 64,852, 89,495.76 and 35,044

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Solution

The fourth proportional to 64,852, 89,495.76 and 35,044 is: 48,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,852 : 89,495.76 = 35,044 : x
  2. Step 2: Convert to fraction form
    64,852/89,495.76 = 35,044/x
  3. Step 3: Cross multiply
    64,852x = 89,495.76 × 35,044
  4. Step 4: Simplify right side
    64,852x = 3,136,289,413.44
  5. Step 5: Solve for x
    x = 3,136,289,413.44/64,852
  6. Step 6: Final answer
    x = 48,360.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.