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Finding the Fourth Proportional to 32,875.96, 49,316.46 and 9,502.60

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Solution

The fourth proportional to 32,875.96, 49,316.46 and 9,502.60 is: 14,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.96 : 49,316.46 = 9,502.60 : x
  2. Step 2: Convert to fraction form
    32,875.96/49,316.46 = 9,502.60/x
  3. Step 3: Cross multiply
    32,875.96x = 49,316.46 × 9,502.60
  4. Step 4: Simplify right side
    32,875.96x = 468,634,592.80
  5. Step 5: Solve for x
    x = 468,634,592.80/32,875.96
  6. Step 6: Final answer
    x = 14,254.63

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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.