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Finding the Fourth Proportional to 65,897.91, 98,752.20 and 37,457.46

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Solution

The fourth proportional to 65,897.91, 98,752.20 and 37,457.46 is: 56,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.91 : 98,752.20 = 37,457.46 : x
  2. Step 2: Convert to fraction form
    65,897.91/98,752.20 = 37,457.46/x
  3. Step 3: Cross multiply
    65,897.91x = 98,752.20 × 37,457.46
  4. Step 4: Simplify right side
    65,897.91x = 3,699,005,900.36
  5. Step 5: Solve for x
    x = 3,699,005,900.36/65,897.91
  6. Step 6: Final answer
    x = 56,132.37

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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.