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Finding the Fourth Proportional to 98,058.33, 147,055.23 and 31,482.63

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Solution

The fourth proportional to 98,058.33, 147,055.23 and 31,482.63 is: 47,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,058.33 : 147,055.23 = 31,482.63 : x
  2. Step 2: Convert to fraction form
    98,058.33/147,055.23 = 31,482.63/x
  3. Step 3: Cross multiply
    98,058.33x = 147,055.23 × 31,482.63
  4. Step 4: Simplify right side
    98,058.33x = 4,629,685,395.65
  5. Step 5: Solve for x
    x = 4,629,685,395.65/98,058.33
  6. Step 6: Final answer
    x = 47,213.59

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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.