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Finding the Fourth Proportional to 58,970.61, 81,378.96 and 32,113.08

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Solution

The fourth proportional to 58,970.61, 81,378.96 and 32,113.08 is: 44,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,970.61 : 81,378.96 = 32,113.08 : x
  2. Step 2: Convert to fraction form
    58,970.61/81,378.96 = 32,113.08/x
  3. Step 3: Cross multiply
    58,970.61x = 81,378.96 × 32,113.08
  4. Step 4: Simplify right side
    58,970.61x = 2,613,329,052.80
  5. Step 5: Solve for x
    x = 2,613,329,052.80/58,970.61
  6. Step 6: Final answer
    x = 44,315.79

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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.