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Finding the Fourth Proportional to 37,666.80, 56,502.36 and 9,965.52

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Solution

The fourth proportional to 37,666.80, 56,502.36 and 9,965.52 is: 14,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.80 : 56,502.36 = 9,965.52 : x
  2. Step 2: Convert to fraction form
    37,666.80/56,502.36 = 9,965.52/x
  3. Step 3: Cross multiply
    37,666.80x = 56,502.36 × 9,965.52
  4. Step 4: Simplify right side
    37,666.80x = 563,075,398.63
  5. Step 5: Solve for x
    x = 563,075,398.63/37,666.80
  6. Step 6: Final answer
    x = 14,948.85

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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.