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Finding the Fourth Proportional to 64,953.12, 97,434.08 and 22,828.08

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Solution

The fourth proportional to 64,953.12, 97,434.08 and 22,828.08 is: 34,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953.12 : 97,434.08 = 22,828.08 : x
  2. Step 2: Convert to fraction form
    64,953.12/97,434.08 = 22,828.08/x
  3. Step 3: Cross multiply
    64,953.12x = 97,434.08 × 22,828.08
  4. Step 4: Simplify right side
    64,953.12x = 2,224,232,972.97
  5. Step 5: Solve for x
    x = 2,224,232,972.97/64,953.12
  6. Step 6: Final answer
    x = 34,243.67

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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.