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Finding the Fourth Proportional to 46,459.52, 64,141.37 and 33,700.46

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Solution

The fourth proportional to 46,459.52, 64,141.37 and 33,700.46 is: 46,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.52 : 64,141.37 = 33,700.46 : x
  2. Step 2: Convert to fraction form
    46,459.52/64,141.37 = 33,700.46/x
  3. Step 3: Cross multiply
    46,459.52x = 64,141.37 × 33,700.46
  4. Step 4: Simplify right side
    46,459.52x = 2,161,593,311.20
  5. Step 5: Solve for x
    x = 2,161,593,311.20/46,459.52
  6. Step 6: Final answer
    x = 46,526.38

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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.