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Finding the Fourth Proportional to 30,159.66, 45,223.05 and 10,436.58

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Solution

The fourth proportional to 30,159.66, 45,223.05 and 10,436.58 is: 15,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.66 : 45,223.05 = 10,436.58 : x
  2. Step 2: Convert to fraction form
    30,159.66/45,223.05 = 10,436.58/x
  3. Step 3: Cross multiply
    30,159.66x = 45,223.05 × 10,436.58
  4. Step 4: Simplify right side
    30,159.66x = 471,973,979.17
  5. Step 5: Solve for x
    x = 471,973,979.17/30,159.66
  6. Step 6: Final answer
    x = 15,649.18

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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.