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Finding the Fourth Proportional to 30,985.50, 46,485.54 and 10,209

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Solution

The fourth proportional to 30,985.50, 46,485.54 and 10,209 is: 15,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.50 : 46,485.54 = 10,209 : x
  2. Step 2: Convert to fraction form
    30,985.50/46,485.54 = 10,209/x
  3. Step 3: Cross multiply
    30,985.50x = 46,485.54 × 10,209
  4. Step 4: Simplify right side
    30,985.50x = 474,570,877.86
  5. Step 5: Solve for x
    x = 474,570,877.86/30,985.50
  6. Step 6: Final answer
    x = 15,315.90

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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.