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Finding the Fourth Proportional to 58,572, 80,829.24 and 31,714.50

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Solution

The fourth proportional to 58,572, 80,829.24 and 31,714.50 is: 43,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,572 : 80,829.24 = 31,714.50 : x
  2. Step 2: Convert to fraction form
    58,572/80,829.24 = 31,714.50/x
  3. Step 3: Cross multiply
    58,572x = 80,829.24 × 31,714.50
  4. Step 4: Simplify right side
    58,572x = 2,563,458,931.98
  5. Step 5: Solve for x
    x = 2,563,458,931.98/58,572
  6. Step 6: Final answer
    x = 43,765.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.