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Finding the Fourth Proportional to 65,145.80, 97,733.04 and 37,079.06

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Solution

The fourth proportional to 65,145.80, 97,733.04 and 37,079.06 is: 55,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.80 : 97,733.04 = 37,079.06 : x
  2. Step 2: Convert to fraction form
    65,145.80/97,733.04 = 37,079.06/x
  3. Step 3: Cross multiply
    65,145.80x = 97,733.04 × 37,079.06
  4. Step 4: Simplify right side
    65,145.80x = 3,623,849,254.14
  5. Step 5: Solve for x
    x = 3,623,849,254.14/65,145.80
  6. Step 6: Final answer
    x = 55,626.75

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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.