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Finding the Fourth Proportional to 71,580.51, 98,808.66 and 47,698.47

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Solution

The fourth proportional to 71,580.51, 98,808.66 and 47,698.47 is: 65,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,580.51 : 98,808.66 = 47,698.47 : x
  2. Step 2: Convert to fraction form
    71,580.51/98,808.66 = 47,698.47/x
  3. Step 3: Cross multiply
    71,580.51x = 98,808.66 × 47,698.47
  4. Step 4: Simplify right side
    71,580.51x = 4,713,021,904.75
  5. Step 5: Solve for x
    x = 4,713,021,904.75/71,580.51
  6. Step 6: Final answer
    x = 65,842.25

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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.