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Finding the Fourth Proportional to 37,507.52, 56,228.88 and 17,776

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Solution

The fourth proportional to 37,507.52, 56,228.88 and 17,776 is: 26,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.52 : 56,228.88 = 17,776 : x
  2. Step 2: Convert to fraction form
    37,507.52/56,228.88 = 17,776/x
  3. Step 3: Cross multiply
    37,507.52x = 56,228.88 × 17,776
  4. Step 4: Simplify right side
    37,507.52x = 999,524,570.88
  5. Step 5: Solve for x
    x = 999,524,570.88/37,507.52
  6. Step 6: Final answer
    x = 26,648.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.