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Finding the Fourth Proportional to 97,835.40, 135,013.35 and 55,402.20

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Solution

The fourth proportional to 97,835.40, 135,013.35 and 55,402.20 is: 76,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,835.40 : 135,013.35 = 55,402.20 : x
  2. Step 2: Convert to fraction form
    97,835.40/135,013.35 = 55,402.20/x
  3. Step 3: Cross multiply
    97,835.40x = 135,013.35 × 55,402.20
  4. Step 4: Simplify right side
    97,835.40x = 7,480,036,619.37
  5. Step 5: Solve for x
    x = 7,480,036,619.37/97,835.40
  6. Step 6: Final answer
    x = 76,455.32

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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.