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Finding the Fourth Proportional to 30,801.78, 46,221.02 and 13,031.51

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Solution

The fourth proportional to 30,801.78, 46,221.02 and 13,031.51 is: 19,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.78 : 46,221.02 = 13,031.51 : x
  2. Step 2: Convert to fraction form
    30,801.78/46,221.02 = 13,031.51/x
  3. Step 3: Cross multiply
    30,801.78x = 46,221.02 × 13,031.51
  4. Step 4: Simplify right side
    30,801.78x = 602,329,388.08
  5. Step 5: Solve for x
    x = 602,329,388.08/30,801.78
  6. Step 6: Final answer
    x = 19,555.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.