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Finding the Fourth Proportional to 37,762.80, 56,655.40 and 15,577.50

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Solution

The fourth proportional to 37,762.80, 56,655.40 and 15,577.50 is: 23,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.80 : 56,655.40 = 15,577.50 : x
  2. Step 2: Convert to fraction form
    37,762.80/56,655.40 = 15,577.50/x
  3. Step 3: Cross multiply
    37,762.80x = 56,655.40 × 15,577.50
  4. Step 4: Simplify right side
    37,762.80x = 882,549,493.50
  5. Step 5: Solve for x
    x = 882,549,493.50/37,762.80
  6. Step 6: Final answer
    x = 23,370.87

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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.