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Finding the Fourth Proportional to 30,054.19, 45,095.46 and 13,412.74

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Solution

The fourth proportional to 30,054.19, 45,095.46 and 13,412.74 is: 20,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.19 : 45,095.46 = 13,412.74 : x
  2. Step 2: Convert to fraction form
    30,054.19/45,095.46 = 13,412.74/x
  3. Step 3: Cross multiply
    30,054.19x = 45,095.46 × 13,412.74
  4. Step 4: Simplify right side
    30,054.19x = 604,853,680.16
  5. Step 5: Solve for x
    x = 604,853,680.16/30,054.19
  6. Step 6: Final answer
    x = 20,125.44

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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.