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Finding the Fourth Proportional to 30,509.28, 45,686.16 and 14,886

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Solution

The fourth proportional to 30,509.28, 45,686.16 and 14,886 is: 22,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.28 : 45,686.16 = 14,886 : x
  2. Step 2: Convert to fraction form
    30,509.28/45,686.16 = 14,886/x
  3. Step 3: Cross multiply
    30,509.28x = 45,686.16 × 14,886
  4. Step 4: Simplify right side
    30,509.28x = 680,084,177.76
  5. Step 5: Solve for x
    x = 680,084,177.76/30,509.28
  6. Step 6: Final answer
    x = 22,291.06

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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.