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Finding the Fourth Proportional to 30,833.73, 42,547.59 and 24,475.70

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Solution

The fourth proportional to 30,833.73, 42,547.59 and 24,475.70 is: 33,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.73 : 42,547.59 = 24,475.70 : x
  2. Step 2: Convert to fraction form
    30,833.73/42,547.59 = 24,475.70/x
  3. Step 3: Cross multiply
    30,833.73x = 42,547.59 × 24,475.70
  4. Step 4: Simplify right side
    30,833.73x = 1,041,382,154.93
  5. Step 5: Solve for x
    x = 1,041,382,154.93/30,833.73
  6. Step 6: Final answer
    x = 33,774.12

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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.