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Finding the Fourth Proportional to 46,978.55, 64,831.65 and 26,841.92

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Solution

The fourth proportional to 46,978.55, 64,831.65 and 26,841.92 is: 37,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.55 : 64,831.65 = 26,841.92 : x
  2. Step 2: Convert to fraction form
    46,978.55/64,831.65 = 26,841.92/x
  3. Step 3: Cross multiply
    46,978.55x = 64,831.65 × 26,841.92
  4. Step 4: Simplify right side
    46,978.55x = 1,740,206,120.40
  5. Step 5: Solve for x
    x = 1,740,206,120.40/46,978.55
  6. Step 6: Final answer
    x = 37,042.56

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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.