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Finding the Fourth Proportional to 30,259.50, 45,389.26 and 9,483

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Solution

The fourth proportional to 30,259.50, 45,389.26 and 9,483 is: 14,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.50 : 45,389.26 = 9,483 : x
  2. Step 2: Convert to fraction form
    30,259.50/45,389.26 = 9,483/x
  3. Step 3: Cross multiply
    30,259.50x = 45,389.26 × 9,483
  4. Step 4: Simplify right side
    30,259.50x = 430,426,352.58
  5. Step 5: Solve for x
    x = 430,426,352.58/30,259.50
  6. Step 6: Final answer
    x = 14,224.50

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1.5x scale

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.