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Finding the Fourth Proportional to 64,822.50, 89,455.05 and 35,014.50

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Solution

The fourth proportional to 64,822.50, 89,455.05 and 35,014.50 is: 48,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.50 : 89,455.05 = 35,014.50 : x
  2. Step 2: Convert to fraction form
    64,822.50/89,455.05 = 35,014.50/x
  3. Step 3: Cross multiply
    64,822.50x = 89,455.05 × 35,014.50
  4. Step 4: Simplify right side
    64,822.50x = 3,132,223,848.23
  5. Step 5: Solve for x
    x = 3,132,223,848.23/64,822.50
  6. Step 6: Final answer
    x = 48,320.01

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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.