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Finding the Fourth Proportional to 65,291.76, 97,937.64 and 30,222

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Solution

The fourth proportional to 65,291.76, 97,937.64 and 30,222 is: 45,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.76 : 97,937.64 = 30,222 : x
  2. Step 2: Convert to fraction form
    65,291.76/97,937.64 = 30,222/x
  3. Step 3: Cross multiply
    65,291.76x = 97,937.64 × 30,222
  4. Step 4: Simplify right side
    65,291.76x = 2,959,871,356.08
  5. Step 5: Solve for x
    x = 2,959,871,356.08/65,291.76
  6. Step 6: Final answer
    x = 45,333

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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.