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Finding the Fourth Proportional to 32,527.84, 48,784.56 and 9,148

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Solution

The fourth proportional to 32,527.84, 48,784.56 and 9,148 is: 13,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.84 : 48,784.56 = 9,148 : x
  2. Step 2: Convert to fraction form
    32,527.84/48,784.56 = 9,148/x
  3. Step 3: Cross multiply
    32,527.84x = 48,784.56 × 9,148
  4. Step 4: Simplify right side
    32,527.84x = 446,281,154.88
  5. Step 5: Solve for x
    x = 446,281,154.88/32,527.84
  6. Step 6: Final answer
    x = 13,719.98

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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.