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Finding the Fourth Proportional to 30,259.70, 45,389.88 and 9,203.16

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Solution

The fourth proportional to 30,259.70, 45,389.88 and 9,203.16 is: 13,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.70 : 45,389.88 = 9,203.16 : x
  2. Step 2: Convert to fraction form
    30,259.70/45,389.88 = 9,203.16/x
  3. Step 3: Cross multiply
    30,259.70x = 45,389.88 × 9,203.16
  4. Step 4: Simplify right side
    30,259.70x = 417,730,328.02
  5. Step 5: Solve for x
    x = 417,730,328.02/30,259.70
  6. Step 6: Final answer
    x = 13,804.84

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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.