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Finding the Fourth Proportional to 30,547.81, 45,793.00 and 16,486.77

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Solution

The fourth proportional to 30,547.81, 45,793.00 and 16,486.77 is: 24,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.81 : 45,793.00 = 16,486.77 : x
  2. Step 2: Convert to fraction form
    30,547.81/45,793.00 = 16,486.77/x
  3. Step 3: Cross multiply
    30,547.81x = 45,793.00 × 16,486.77
  4. Step 4: Simplify right side
    30,547.81x = 754,978,371.83
  5. Step 5: Solve for x
    x = 754,978,371.83/30,547.81
  6. Step 6: Final answer
    x = 24,714.65

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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.