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Finding the Fourth Proportional to 73,278, 109,918.08 and 24,030

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Solution

The fourth proportional to 73,278, 109,918.08 and 24,030 is: 36,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,278 : 109,918.08 = 24,030 : x
  2. Step 2: Convert to fraction form
    73,278/109,918.08 = 24,030/x
  3. Step 3: Cross multiply
    73,278x = 109,918.08 × 24,030
  4. Step 4: Simplify right side
    73,278x = 2,641,331,462.40
  5. Step 5: Solve for x
    x = 2,641,331,462.40/73,278
  6. Step 6: Final answer
    x = 36,045.35

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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.