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Finding the Fourth Proportional to 46,802.31, 70,164.59 and 32,722.08

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Solution

The fourth proportional to 46,802.31, 70,164.59 and 32,722.08 is: 49,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802.31 : 70,164.59 = 32,722.08 : x
  2. Step 2: Convert to fraction form
    46,802.31/70,164.59 = 32,722.08/x
  3. Step 3: Cross multiply
    46,802.31x = 70,164.59 × 32,722.08
  4. Step 4: Simplify right side
    46,802.31x = 2,295,931,163.54
  5. Step 5: Solve for x
    x = 2,295,931,163.54/46,802.31
  6. Step 6: Final answer
    x = 49,055.94

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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.