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Finding the Fourth Proportional to 62,946.96, 94,478.76 and 31,804.08

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Solution

The fourth proportional to 62,946.96, 94,478.76 and 31,804.08 is: 47,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,946.96 : 94,478.76 = 31,804.08 : x
  2. Step 2: Convert to fraction form
    62,946.96/94,478.76 = 31,804.08/x
  3. Step 3: Cross multiply
    62,946.96x = 94,478.76 × 31,804.08
  4. Step 4: Simplify right side
    62,946.96x = 3,004,810,041.34
  5. Step 5: Solve for x
    x = 3,004,810,041.34/62,946.96
  6. Step 6: Final answer
    x = 47,735.59

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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.