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Finding the Fourth Proportional to 65,256.40, 97,811.70 and 37,189.90

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Solution

The fourth proportional to 65,256.40, 97,811.70 and 37,189.90 is: 55,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256.40 : 97,811.70 = 37,189.90 : x
  2. Step 2: Convert to fraction form
    65,256.40/97,811.70 = 37,189.90/x
  3. Step 3: Cross multiply
    65,256.40x = 97,811.70 × 37,189.90
  4. Step 4: Simplify right side
    65,256.40x = 3,637,607,341.83
  5. Step 5: Solve for x
    x = 3,637,607,341.83/65,256.40
  6. Step 6: Final answer
    x = 55,743.30

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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.