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Finding the Fourth Proportional to 30,748.12, 46,128.66 and 9,970

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Solution

The fourth proportional to 30,748.12, 46,128.66 and 9,970 is: 14,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.12 : 46,128.66 = 9,970 : x
  2. Step 2: Convert to fraction form
    30,748.12/46,128.66 = 9,970/x
  3. Step 3: Cross multiply
    30,748.12x = 46,128.66 × 9,970
  4. Step 4: Simplify right side
    30,748.12x = 459,902,740.20
  5. Step 5: Solve for x
    x = 459,902,740.20/30,748.12
  6. Step 6: Final answer
    x = 14,957.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.