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Finding the Fourth Proportional to 46,984.67, 64,794.80 and 37,456.16

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Solution

The fourth proportional to 46,984.67, 64,794.80 and 37,456.16 is: 51,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,984.67 : 64,794.80 = 37,456.16 : x
  2. Step 2: Convert to fraction form
    46,984.67/64,794.80 = 37,456.16/x
  3. Step 3: Cross multiply
    46,984.67x = 64,794.80 × 37,456.16
  4. Step 4: Simplify right side
    46,984.67x = 2,426,963,884.71
  5. Step 5: Solve for x
    x = 2,426,963,884.71/46,984.67
  6. Step 6: Final answer
    x = 51,654.38

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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.