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Finding the Fourth Proportional to 45,762.56, 63,154.80 and 27,854.72

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Solution

The fourth proportional to 45,762.56, 63,154.80 and 27,854.72 is: 38,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762.56 : 63,154.80 = 27,854.72 : x
  2. Step 2: Convert to fraction form
    45,762.56/63,154.80 = 27,854.72/x
  3. Step 3: Cross multiply
    45,762.56x = 63,154.80 × 27,854.72
  4. Step 4: Simplify right side
    45,762.56x = 1,759,159,270.66
  5. Step 5: Solve for x
    x = 1,759,159,270.66/45,762.56
  6. Step 6: Final answer
    x = 38,441.02

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Why These Related Problems?

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