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Finding the Fourth Proportional to 46,775.52, 64,528.56 and 26,892

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Solution

The fourth proportional to 46,775.52, 64,528.56 and 26,892 is: 37,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,775.52 : 64,528.56 = 26,892 : x
  2. Step 2: Convert to fraction form
    46,775.52/64,528.56 = 26,892/x
  3. Step 3: Cross multiply
    46,775.52x = 64,528.56 × 26,892
  4. Step 4: Simplify right side
    46,775.52x = 1,735,302,035.52
  5. Step 5: Solve for x
    x = 1,735,302,035.52/46,775.52
  6. Step 6: Final answer
    x = 37,098.51

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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.