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Finding the Fourth Proportional to 97,899.02, 135,103.40 and 55,457.55

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Solution

The fourth proportional to 97,899.02, 135,103.40 and 55,457.55 is: 76,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,899.02 : 135,103.40 = 55,457.55 : x
  2. Step 2: Convert to fraction form
    97,899.02/135,103.40 = 55,457.55/x
  3. Step 3: Cross multiply
    97,899.02x = 135,103.40 × 55,457.55
  4. Step 4: Simplify right side
    97,899.02x = 7,492,503,283.38
  5. Step 5: Solve for x
    x = 7,492,503,283.38/97,899.02
  6. Step 6: Final answer
    x = 76,532.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.