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Finding the Fourth Proportional to 65,054.68, 97,582.04 and 18,307.55

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Solution

The fourth proportional to 65,054.68, 97,582.04 and 18,307.55 is: 27,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,054.68 : 97,582.04 = 18,307.55 : x
  2. Step 2: Convert to fraction form
    65,054.68/97,582.04 = 18,307.55/x
  3. Step 3: Cross multiply
    65,054.68x = 97,582.04 × 18,307.55
  4. Step 4: Simplify right side
    65,054.68x = 1,786,488,297.47
  5. Step 5: Solve for x
    x = 1,786,488,297.47/65,054.68
  6. Step 6: Final answer
    x = 27,461.34

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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.