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Finding the Fourth Proportional to 30,490.84, 45,739.26 and 9,430.06

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Solution

The fourth proportional to 30,490.84, 45,739.26 and 9,430.06 is: 14,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.84 : 45,739.26 = 9,430.06 : x
  2. Step 2: Convert to fraction form
    30,490.84/45,739.26 = 9,430.06/x
  3. Step 3: Cross multiply
    30,490.84x = 45,739.26 × 9,430.06
  4. Step 4: Simplify right side
    30,490.84x = 431,323,966.16
  5. Step 5: Solve for x
    x = 431,323,966.16/30,490.84
  6. Step 6: Final answer
    x = 14,146.02

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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.