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Finding the Fourth Proportional to 73,681.84, 110,538.12 and 24,430

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Solution

The fourth proportional to 73,681.84, 110,538.12 and 24,430 is: 36,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,681.84 : 110,538.12 = 24,430 : x
  2. Step 2: Convert to fraction form
    73,681.84/110,538.12 = 24,430/x
  3. Step 3: Cross multiply
    73,681.84x = 110,538.12 × 24,430
  4. Step 4: Simplify right side
    73,681.84x = 2,700,446,271.60
  5. Step 5: Solve for x
    x = 2,700,446,271.60/73,681.84
  6. Step 6: Final answer
    x = 36,650.09

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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.