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Finding the Fourth Proportional to 65,251.04, 97,776.92 and 46,570.41

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Solution

The fourth proportional to 65,251.04, 97,776.92 and 46,570.41 is: 69,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.04 : 97,776.92 = 46,570.41 : x
  2. Step 2: Convert to fraction form
    65,251.04/97,776.92 = 46,570.41/x
  3. Step 3: Cross multiply
    65,251.04x = 97,776.92 × 46,570.41
  4. Step 4: Simplify right side
    65,251.04x = 4,553,511,020.09
  5. Step 5: Solve for x
    x = 4,553,511,020.09/65,251.04
  6. Step 6: Final answer
    x = 69,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.