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Finding the Fourth Proportional to 46,932.76, 64,657.74 and 32,760.28

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Solution

The fourth proportional to 46,932.76, 64,657.74 and 32,760.28 is: 45,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,932.76 : 64,657.74 = 32,760.28 : x
  2. Step 2: Convert to fraction form
    46,932.76/64,657.74 = 32,760.28/x
  3. Step 3: Cross multiply
    46,932.76x = 64,657.74 × 32,760.28
  4. Step 4: Simplify right side
    46,932.76x = 2,118,205,666.57
  5. Step 5: Solve for x
    x = 2,118,205,666.57/46,932.76
  6. Step 6: Final answer
    x = 45,132.77

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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.