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Finding the Fourth Proportional to 52,828.76, 79,341.84 and 46,505.88

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Solution

The fourth proportional to 52,828.76, 79,341.84 and 46,505.88 is: 69,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.76 : 79,341.84 = 46,505.88 : x
  2. Step 2: Convert to fraction form
    52,828.76/79,341.84 = 46,505.88/x
  3. Step 3: Cross multiply
    52,828.76x = 79,341.84 × 46,505.88
  4. Step 4: Simplify right side
    52,828.76x = 3,689,862,090.02
  5. Step 5: Solve for x
    x = 3,689,862,090.02/52,828.76
  6. Step 6: Final answer
    x = 69,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.