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Finding the Fourth Proportional to 30,547.83, 42,161.72 and 17,803.70

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Solution

The fourth proportional to 30,547.83, 42,161.72 and 17,803.70 is: 24,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.83 : 42,161.72 = 17,803.70 : x
  2. Step 2: Convert to fraction form
    30,547.83/42,161.72 = 17,803.70/x
  3. Step 3: Cross multiply
    30,547.83x = 42,161.72 × 17,803.70
  4. Step 4: Simplify right side
    30,547.83x = 750,634,472.64
  5. Step 5: Solve for x
    x = 750,634,472.64/30,547.83
  6. Step 6: Final answer
    x = 24,572.43

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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.