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Finding the Fourth Proportional to 30,056.44, 45,087.08 and 10,335

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Solution

The fourth proportional to 30,056.44, 45,087.08 and 10,335 is: 15,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.44 : 45,087.08 = 10,335 : x
  2. Step 2: Convert to fraction form
    30,056.44/45,087.08 = 10,335/x
  3. Step 3: Cross multiply
    30,056.44x = 45,087.08 × 10,335
  4. Step 4: Simplify right side
    30,056.44x = 465,974,971.80
  5. Step 5: Solve for x
    x = 465,974,971.80/30,056.44
  6. Step 6: Final answer
    x = 15,503.33

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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.