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Finding the Fourth Proportional to 64,503.76, 96,756 and 22,954

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Solution

The fourth proportional to 64,503.76, 96,756 and 22,954 is: 34,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,503.76 : 96,756 = 22,954 : x
  2. Step 2: Convert to fraction form
    64,503.76/96,756 = 22,954/x
  3. Step 3: Cross multiply
    64,503.76x = 96,756 × 22,954
  4. Step 4: Simplify right side
    64,503.76x = 2,220,937,224
  5. Step 5: Solve for x
    x = 2,220,937,224/64,503.76
  6. Step 6: Final answer
    x = 34,431.13

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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.