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Finding the Fourth Proportional to 61,648.72, 92,465.29 and 19,533.08

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Solution

The fourth proportional to 61,648.72, 92,465.29 and 19,533.08 is: 29,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648.72 : 92,465.29 = 19,533.08 : x
  2. Step 2: Convert to fraction form
    61,648.72/92,465.29 = 19,533.08/x
  3. Step 3: Cross multiply
    61,648.72x = 92,465.29 × 19,533.08
  4. Step 4: Simplify right side
    61,648.72x = 1,806,131,675.63
  5. Step 5: Solve for x
    x = 1,806,131,675.63/61,648.72
  6. Step 6: Final answer
    x = 29,297.15

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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.