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Finding the Fourth Proportional to 29,762.34, 44,643.53 and 8,985.84

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Solution

The fourth proportional to 29,762.34, 44,643.53 and 8,985.84 is: 13,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.34 : 44,643.53 = 8,985.84 : x
  2. Step 2: Convert to fraction form
    29,762.34/44,643.53 = 8,985.84/x
  3. Step 3: Cross multiply
    29,762.34x = 44,643.53 × 8,985.84
  4. Step 4: Simplify right side
    29,762.34x = 401,159,617.62
  5. Step 5: Solve for x
    x = 401,159,617.62/29,762.34
  6. Step 6: Final answer
    x = 13,478.77

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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.