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Finding the Fourth Proportional to 30,788.35, 46,175.90 and 9,730.01

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Solution

The fourth proportional to 30,788.35, 46,175.90 and 9,730.01 is: 14,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.35 : 46,175.90 = 9,730.01 : x
  2. Step 2: Convert to fraction form
    30,788.35/46,175.90 = 9,730.01/x
  3. Step 3: Cross multiply
    30,788.35x = 46,175.90 × 9,730.01
  4. Step 4: Simplify right side
    30,788.35x = 449,291,968.76
  5. Step 5: Solve for x
    x = 449,291,968.76/30,788.35
  6. Step 6: Final answer
    x = 14,592.92

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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.