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Finding the Fourth Proportional to 32,870.10, 49,328.90 and 13,154.16

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Solution

The fourth proportional to 32,870.10, 49,328.90 and 13,154.16 is: 19,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870.10 : 49,328.90 = 13,154.16 : x
  2. Step 2: Convert to fraction form
    32,870.10/49,328.90 = 13,154.16/x
  3. Step 3: Cross multiply
    32,870.10x = 49,328.90 × 13,154.16
  4. Step 4: Simplify right side
    32,870.10x = 648,880,243.22
  5. Step 5: Solve for x
    x = 648,880,243.22/32,870.10
  6. Step 6: Final answer
    x = 19,740.74

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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.