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Finding the Fourth Proportional to 39,655, 59,482.50 and 15,031

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Solution

The fourth proportional to 39,655, 59,482.50 and 15,031 is: 22,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,655 : 59,482.50 = 15,031 : x
  2. Step 2: Convert to fraction form
    39,655/59,482.50 = 15,031/x
  3. Step 3: Cross multiply
    39,655x = 59,482.50 × 15,031
  4. Step 4: Simplify right side
    39,655x = 894,081,457.50
  5. Step 5: Solve for x
    x = 894,081,457.50/39,655
  6. Step 6: Final answer
    x = 22,546.50

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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.