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Finding the Fourth Proportional to 46,952.56, 70,424.60 and 17,370.64

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Solution

The fourth proportional to 46,952.56, 70,424.60 and 17,370.64 is: 26,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.56 : 70,424.60 = 17,370.64 : x
  2. Step 2: Convert to fraction form
    46,952.56/70,424.60 = 17,370.64/x
  3. Step 3: Cross multiply
    46,952.56x = 70,424.60 × 17,370.64
  4. Step 4: Simplify right side
    46,952.56x = 1,223,320,373.74
  5. Step 5: Solve for x
    x = 1,223,320,373.74/46,952.56
  6. Step 6: Final answer
    x = 26,054.39

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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.