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Finding the Fourth Proportional to 58,302.32, 80,448 and 34,425.68

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Solution

The fourth proportional to 58,302.32, 80,448 and 34,425.68 is: 47,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302.32 : 80,448 = 34,425.68 : x
  2. Step 2: Convert to fraction form
    58,302.32/80,448 = 34,425.68/x
  3. Step 3: Cross multiply
    58,302.32x = 80,448 × 34,425.68
  4. Step 4: Simplify right side
    58,302.32x = 2,769,477,104.64
  5. Step 5: Solve for x
    x = 2,769,477,104.64/58,302.32
  6. Step 6: Final answer
    x = 47,502.01

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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.