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Finding the Fourth Proportional to 30,681.74, 46,023.19 and 9,621.32

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Solution

The fourth proportional to 30,681.74, 46,023.19 and 9,621.32 is: 14,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.74 : 46,023.19 = 9,621.32 : x
  2. Step 2: Convert to fraction form
    30,681.74/46,023.19 = 9,621.32/x
  3. Step 3: Cross multiply
    30,681.74x = 46,023.19 × 9,621.32
  4. Step 4: Simplify right side
    30,681.74x = 442,803,838.41
  5. Step 5: Solve for x
    x = 442,803,838.41/30,681.74
  6. Step 6: Final answer
    x = 14,432.16

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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.