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Finding the Fourth Proportional to 31,659.03, 47,457.54 and 25,748.01

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Solution

The fourth proportional to 31,659.03, 47,457.54 and 25,748.01 is: 38,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659.03 : 47,457.54 = 25,748.01 : x
  2. Step 2: Convert to fraction form
    31,659.03/47,457.54 = 25,748.01/x
  3. Step 3: Cross multiply
    31,659.03x = 47,457.54 × 25,748.01
  4. Step 4: Simplify right side
    31,659.03x = 1,221,937,214.50
  5. Step 5: Solve for x
    x = 1,221,937,214.50/31,659.03
  6. Step 6: Final answer
    x = 38,596.80

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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.