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Finding the Fourth Proportional to 65,219.45, 97,848.68 and 37,498.01

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Solution

The fourth proportional to 65,219.45, 97,848.68 and 37,498.01 is: 56,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.45 : 97,848.68 = 37,498.01 : x
  2. Step 2: Convert to fraction form
    65,219.45/97,848.68 = 37,498.01/x
  3. Step 3: Cross multiply
    65,219.45x = 97,848.68 × 37,498.01
  4. Step 4: Simplify right side
    65,219.45x = 3,669,130,104.39
  5. Step 5: Solve for x
    x = 3,669,130,104.39/65,219.45
  6. Step 6: Final answer
    x = 56,258.22

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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.