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Finding the Fourth Proportional to 30,491.60, 45,740.76 and 9,710.32

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Solution

The fourth proportional to 30,491.60, 45,740.76 and 9,710.32 is: 14,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.60 : 45,740.76 = 9,710.32 : x
  2. Step 2: Convert to fraction form
    30,491.60/45,740.76 = 9,710.32/x
  3. Step 3: Cross multiply
    30,491.60x = 45,740.76 × 9,710.32
  4. Step 4: Simplify right side
    30,491.60x = 444,157,416.64
  5. Step 5: Solve for x
    x = 444,157,416.64/30,491.60
  6. Step 6: Final answer
    x = 14,566.55

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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.