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Finding the Fourth Proportional to 30,460.24, 45,564 and 28,594

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Solution

The fourth proportional to 30,460.24, 45,564 and 28,594 is: 42,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.24 : 45,564 = 28,594 : x
  2. Step 2: Convert to fraction form
    30,460.24/45,564 = 28,594/x
  3. Step 3: Cross multiply
    30,460.24x = 45,564 × 28,594
  4. Step 4: Simplify right side
    30,460.24x = 1,302,857,016
  5. Step 5: Solve for x
    x = 1,302,857,016/30,460.24
  6. Step 6: Final answer
    x = 42,772.38

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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.