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Finding the Fourth Proportional to 58,645.71, 80,931.20 and 31,788.14

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Solution

The fourth proportional to 58,645.71, 80,931.20 and 31,788.14 is: 43,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645.71 : 80,931.20 = 31,788.14 : x
  2. Step 2: Convert to fraction form
    58,645.71/80,931.20 = 31,788.14/x
  3. Step 3: Cross multiply
    58,645.71x = 80,931.20 × 31,788.14
  4. Step 4: Simplify right side
    58,645.71x = 2,572,651,752.37
  5. Step 5: Solve for x
    x = 2,572,651,752.37/58,645.71
  6. Step 6: Final answer
    x = 43,867.69

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1.5x scale

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.