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Finding the Fourth Proportional to 64,898.72, 97,328.64 and 23,336

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Solution

The fourth proportional to 64,898.72, 97,328.64 and 23,336 is: 34,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898.72 : 97,328.64 = 23,336 : x
  2. Step 2: Convert to fraction form
    64,898.72/97,328.64 = 23,336/x
  3. Step 3: Cross multiply
    64,898.72x = 97,328.64 × 23,336
  4. Step 4: Simplify right side
    64,898.72x = 2,271,261,143.04
  5. Step 5: Solve for x
    x = 2,271,261,143.04/64,898.72
  6. Step 6: Final answer
    x = 34,997.01

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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.