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Finding the Fourth Proportional to 62,798.40, 86,738.40 and 46,953

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Solution

The fourth proportional to 62,798.40, 86,738.40 and 46,953 is: 64,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,798.40 : 86,738.40 = 46,953 : x
  2. Step 2: Convert to fraction form
    62,798.40/86,738.40 = 46,953/x
  3. Step 3: Cross multiply
    62,798.40x = 86,738.40 × 46,953
  4. Step 4: Simplify right side
    62,798.40x = 4,072,628,095.20
  5. Step 5: Solve for x
    x = 4,072,628,095.20/62,798.40
  6. Step 6: Final answer
    x = 64,852.42

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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.