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Finding the Fourth Proportional to 30,795.93, 42,498.36 and 16,648.77

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Solution

The fourth proportional to 30,795.93, 42,498.36 and 16,648.77 is: 22,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.93 : 42,498.36 = 16,648.77 : x
  2. Step 2: Convert to fraction form
    30,795.93/42,498.36 = 16,648.77/x
  3. Step 3: Cross multiply
    30,795.93x = 42,498.36 × 16,648.77
  4. Step 4: Simplify right side
    30,795.93x = 707,545,421.02
  5. Step 5: Solve for x
    x = 707,545,421.02/30,795.93
  6. Step 6: Final answer
    x = 22,975.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.