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Finding the Fourth Proportional to 31,048.32, 46,347.06 and 28,735.44

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Solution

The fourth proportional to 31,048.32, 46,347.06 and 28,735.44 is: 42,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.32 : 46,347.06 = 28,735.44 : x
  2. Step 2: Convert to fraction form
    31,048.32/46,347.06 = 28,735.44/x
  3. Step 3: Cross multiply
    31,048.32x = 46,347.06 × 28,735.44
  4. Step 4: Simplify right side
    31,048.32x = 1,331,803,161.81
  5. Step 5: Solve for x
    x = 1,331,803,161.81/31,048.32
  6. Step 6: Final answer
    x = 42,894.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.