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Finding the Fourth Proportional to 59,726.94, 82,430.80 and 38,567.72

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Solution

The fourth proportional to 59,726.94, 82,430.80 and 38,567.72 is: 53,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,726.94 : 82,430.80 = 38,567.72 : x
  2. Step 2: Convert to fraction form
    59,726.94/82,430.80 = 38,567.72/x
  3. Step 3: Cross multiply
    59,726.94x = 82,430.80 × 38,567.72
  4. Step 4: Simplify right side
    59,726.94x = 3,179,168,013.78
  5. Step 5: Solve for x
    x = 3,179,168,013.78/59,726.94
  6. Step 6: Final answer
    x = 53,228.38

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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.