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Finding the Fourth Proportional to 42,668.34, 64,002.56 and 14,588.67

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Solution

The fourth proportional to 42,668.34, 64,002.56 and 14,588.67 is: 21,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,668.34 : 64,002.56 = 14,588.67 : x
  2. Step 2: Convert to fraction form
    42,668.34/64,002.56 = 14,588.67/x
  3. Step 3: Cross multiply
    42,668.34x = 64,002.56 × 14,588.67
  4. Step 4: Simplify right side
    42,668.34x = 933,712,154.05
  5. Step 5: Solve for x
    x = 933,712,154.05/42,668.34
  6. Step 6: Final answer
    x = 21,883.02

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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.