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Finding the Fourth Proportional to 30,106.65, 41,547.12 and 16,677.87

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Solution

The fourth proportional to 30,106.65, 41,547.12 and 16,677.87 is: 23,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.65 : 41,547.12 = 16,677.87 : x
  2. Step 2: Convert to fraction form
    30,106.65/41,547.12 = 16,677.87/x
  3. Step 3: Cross multiply
    30,106.65x = 41,547.12 × 16,677.87
  4. Step 4: Simplify right side
    30,106.65x = 692,917,466.23
  5. Step 5: Solve for x
    x = 692,917,466.23/30,106.65
  6. Step 6: Final answer
    x = 23,015.43

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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.