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Finding the Fourth Proportional to 65,127, 97,622.40 and 30,089.64

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Solution

The fourth proportional to 65,127, 97,622.40 and 30,089.64 is: 45,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,127 : 97,622.40 = 30,089.64 : x
  2. Step 2: Convert to fraction form
    65,127/97,622.40 = 30,089.64/x
  3. Step 3: Cross multiply
    65,127x = 97,622.40 × 30,089.64
  4. Step 4: Simplify right side
    65,127x = 2,937,422,871.94
  5. Step 5: Solve for x
    x = 2,937,422,871.94/65,127
  6. Step 6: Final answer
    x = 45,103.00

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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.