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Finding the Fourth Proportional to 32,970.18, 49,458.32 and 10,783.68

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Solution

The fourth proportional to 32,970.18, 49,458.32 and 10,783.68 is: 16,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.18 : 49,458.32 = 10,783.68 : x
  2. Step 2: Convert to fraction form
    32,970.18/49,458.32 = 10,783.68/x
  3. Step 3: Cross multiply
    32,970.18x = 49,458.32 × 10,783.68
  4. Step 4: Simplify right side
    32,970.18x = 533,342,696.22
  5. Step 5: Solve for x
    x = 533,342,696.22/32,970.18
  6. Step 6: Final answer
    x = 16,176.52

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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.