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Finding the Fourth Proportional to 53,669.06, 80,503.88 and 31,466.88

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Solution

The fourth proportional to 53,669.06, 80,503.88 and 31,466.88 is: 47,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,669.06 : 80,503.88 = 31,466.88 : x
  2. Step 2: Convert to fraction form
    53,669.06/80,503.88 = 31,466.88/x
  3. Step 3: Cross multiply
    53,669.06x = 80,503.88 × 31,466.88
  4. Step 4: Simplify right side
    53,669.06x = 2,533,205,931.49
  5. Step 5: Solve for x
    x = 2,533,205,931.49/53,669.06
  6. Step 6: Final answer
    x = 47,200.49

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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.