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Finding the Fourth Proportional to 32,411, 44,727.20 and 17,507

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Solution

The fourth proportional to 32,411, 44,727.20 and 17,507 is: 24,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411 : 44,727.20 = 17,507 : x
  2. Step 2: Convert to fraction form
    32,411/44,727.20 = 17,507/x
  3. Step 3: Cross multiply
    32,411x = 44,727.20 × 17,507
  4. Step 4: Simplify right side
    32,411x = 783,039,090.40
  5. Step 5: Solve for x
    x = 783,039,090.40/32,411
  6. Step 6: Final answer
    x = 24,159.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.