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Finding the Fourth Proportional to 32,058.69, 48,038.82 and 19,559.98

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Solution

The fourth proportional to 32,058.69, 48,038.82 and 19,559.98 is: 29,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,058.69 : 48,038.82 = 19,559.98 : x
  2. Step 2: Convert to fraction form
    32,058.69/48,038.82 = 19,559.98/x
  3. Step 3: Cross multiply
    32,058.69x = 48,038.82 × 19,559.98
  4. Step 4: Simplify right side
    32,058.69x = 939,638,455.15
  5. Step 5: Solve for x
    x = 939,638,455.15/32,058.69
  6. Step 6: Final answer
    x = 29,309.95

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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.