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Finding the Fourth Proportional to 30,106.98, 41,547.60 and 16,678.26

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Solution

The fourth proportional to 30,106.98, 41,547.60 and 16,678.26 is: 23,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.98 : 41,547.60 = 16,678.26 : x
  2. Step 2: Convert to fraction form
    30,106.98/41,547.60 = 16,678.26/x
  3. Step 3: Cross multiply
    30,106.98x = 41,547.60 × 16,678.26
  4. Step 4: Simplify right side
    30,106.98x = 692,941,675.18
  5. Step 5: Solve for x
    x = 692,941,675.18/30,106.98
  6. Step 6: Final answer
    x = 23,015.98

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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.