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Finding the Fourth Proportional to 40,648.42, 60,973.14 and 14,334.71

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Solution

The fourth proportional to 40,648.42, 60,973.14 and 14,334.71 is: 21,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,648.42 : 60,973.14 = 14,334.71 : x
  2. Step 2: Convert to fraction form
    40,648.42/60,973.14 = 14,334.71/x
  3. Step 3: Cross multiply
    40,648.42x = 60,973.14 × 14,334.71
  4. Step 4: Simplify right side
    40,648.42x = 874,032,279.69
  5. Step 5: Solve for x
    x = 874,032,279.69/40,648.42
  6. Step 6: Final answer
    x = 21,502.24

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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.