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Finding the Fourth Proportional to 30,106.42, 45,098.07 and 14,073.01

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Solution

The fourth proportional to 30,106.42, 45,098.07 and 14,073.01 is: 21,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.42 : 45,098.07 = 14,073.01 : x
  2. Step 2: Convert to fraction form
    30,106.42/45,098.07 = 14,073.01/x
  3. Step 3: Cross multiply
    30,106.42x = 45,098.07 × 14,073.01
  4. Step 4: Simplify right side
    30,106.42x = 634,665,590.09
  5. Step 5: Solve for x
    x = 634,665,590.09/30,106.42
  6. Step 6: Final answer
    x = 21,080.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.