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Finding the Fourth Proportional to 46,803, 70,204.50 and 13,971

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Solution

The fourth proportional to 46,803, 70,204.50 and 13,971 is: 20,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,803 : 70,204.50 = 13,971 : x
  2. Step 2: Convert to fraction form
    46,803/70,204.50 = 13,971/x
  3. Step 3: Cross multiply
    46,803x = 70,204.50 × 13,971
  4. Step 4: Simplify right side
    46,803x = 980,827,069.50
  5. Step 5: Solve for x
    x = 980,827,069.50/46,803
  6. Step 6: Final answer
    x = 20,956.50

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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.