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Finding the Fourth Proportional to 86,429.50, 129,666.12 and 24,100

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Solution

The fourth proportional to 86,429.50, 129,666.12 and 24,100 is: 36,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,429.50 : 129,666.12 = 24,100 : x
  2. Step 2: Convert to fraction form
    86,429.50/129,666.12 = 24,100/x
  3. Step 3: Cross multiply
    86,429.50x = 129,666.12 × 24,100
  4. Step 4: Simplify right side
    86,429.50x = 3,124,953,492
  5. Step 5: Solve for x
    x = 3,124,953,492/86,429.50
  6. Step 6: Final answer
    x = 36,156.10

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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.