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Finding the Fourth Proportional to 30,547.44, 45,806.63 and 11,836.22

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Solution

The fourth proportional to 30,547.44, 45,806.63 and 11,836.22 is: 17,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.44 : 45,806.63 = 11,836.22 : x
  2. Step 2: Convert to fraction form
    30,547.44/45,806.63 = 11,836.22/x
  3. Step 3: Cross multiply
    30,547.44x = 45,806.63 × 11,836.22
  4. Step 4: Simplify right side
    30,547.44x = 542,177,061.92
  5. Step 5: Solve for x
    x = 542,177,061.92/30,547.44
  6. Step 6: Final answer
    x = 17,748.69

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1.5x scale

Why These Related Problems?

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