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Finding the Fourth Proportional to 30,547.82, 42,156.50 and 17,800.71

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Solution

The fourth proportional to 30,547.82, 42,156.50 and 17,800.71 is: 24,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.82 : 42,156.50 = 17,800.71 : x
  2. Step 2: Convert to fraction form
    30,547.82/42,156.50 = 17,800.71/x
  3. Step 3: Cross multiply
    30,547.82x = 42,156.50 × 17,800.71
  4. Step 4: Simplify right side
    30,547.82x = 750,415,542.11
  5. Step 5: Solve for x
    x = 750,415,542.11/30,547.82
  6. Step 6: Final answer
    x = 24,565.28

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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.