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Finding the Fourth Proportional to 64,953.36, 97,439.04 and 22,823.28

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Solution

The fourth proportional to 64,953.36, 97,439.04 and 22,823.28 is: 34,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.36 : 97,439.04 = 22,823.28 : x
  2. Step 2: Convert to fraction form
    64,953.36/97,439.04 = 22,823.28/x
  3. Step 3: Cross multiply
    64,953.36x = 97,439.04 × 22,823.28
  4. Step 4: Simplify right side
    64,953.36x = 2,223,878,492.85
  5. Step 5: Solve for x
    x = 2,223,878,492.85/64,953.36
  6. Step 6: Final answer
    x = 34,238.08

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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.