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Finding the Fourth Proportional to 32,465.84, 48,692.61 and 11,400.93

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Solution

The fourth proportional to 32,465.84, 48,692.61 and 11,400.93 is: 17,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.84 : 48,692.61 = 11,400.93 : x
  2. Step 2: Convert to fraction form
    32,465.84/48,692.61 = 11,400.93/x
  3. Step 3: Cross multiply
    32,465.84x = 48,692.61 × 11,400.93
  4. Step 4: Simplify right side
    32,465.84x = 555,141,038.13
  5. Step 5: Solve for x
    x = 555,141,038.13/32,465.84
  6. Step 6: Final answer
    x = 17,099.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.