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Finding the Fourth Proportional to 32,323.84, 48,486.88 and 8,952

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Solution

The fourth proportional to 32,323.84, 48,486.88 and 8,952 is: 13,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323.84 : 48,486.88 = 8,952 : x
  2. Step 2: Convert to fraction form
    32,323.84/48,486.88 = 8,952/x
  3. Step 3: Cross multiply
    32,323.84x = 48,486.88 × 8,952
  4. Step 4: Simplify right side
    32,323.84x = 434,054,549.76
  5. Step 5: Solve for x
    x = 434,054,549.76/32,323.84
  6. Step 6: Final answer
    x = 13,428.31

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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.