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Finding the Fourth Proportional to 64,829.34, 89,464.51 and 35,021.34

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Solution

The fourth proportional to 64,829.34, 89,464.51 and 35,021.34 is: 48,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,829.34 : 89,464.51 = 35,021.34 : x
  2. Step 2: Convert to fraction form
    64,829.34/89,464.51 = 35,021.34/x
  3. Step 3: Cross multiply
    64,829.34x = 89,464.51 × 35,021.34
  4. Step 4: Simplify right side
    64,829.34x = 3,133,167,401.91
  5. Step 5: Solve for x
    x = 3,133,167,401.91/64,829.34
  6. Step 6: Final answer
    x = 48,329.46

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1.5x scale

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.