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Finding the Fourth Proportional to 64,434.08, 88,900.80 and 41,774

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Solution

The fourth proportional to 64,434.08, 88,900.80 and 41,774 is: 57,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,434.08 : 88,900.80 = 41,774 : x
  2. Step 2: Convert to fraction form
    64,434.08/88,900.80 = 41,774/x
  3. Step 3: Cross multiply
    64,434.08x = 88,900.80 × 41,774
  4. Step 4: Simplify right side
    64,434.08x = 3,713,742,019.20
  5. Step 5: Solve for x
    x = 3,713,742,019.20/64,434.08
  6. Step 6: Final answer
    x = 57,636.30

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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.