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Finding the Fourth Proportional to 30,088.81, 41,523.02 and 16,476.63

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Solution

The fourth proportional to 30,088.81, 41,523.02 and 16,476.63 is: 22,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,088.81 : 41,523.02 = 16,476.63 : x
  2. Step 2: Convert to fraction form
    30,088.81/41,523.02 = 16,476.63/x
  3. Step 3: Cross multiply
    30,088.81x = 41,523.02 × 16,476.63
  4. Step 4: Simplify right side
    30,088.81x = 684,159,437.02
  5. Step 5: Solve for x
    x = 684,159,437.02/30,088.81
  6. Step 6: Final answer
    x = 22,738.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.