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Finding the Fourth Proportional to 29,549.01, 44,323.92 and 9,827.58

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Solution

The fourth proportional to 29,549.01, 44,323.92 and 9,827.58 is: 14,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549.01 : 44,323.92 = 9,827.58 : x
  2. Step 2: Convert to fraction form
    29,549.01/44,323.92 = 9,827.58/x
  3. Step 3: Cross multiply
    29,549.01x = 44,323.92 × 9,827.58
  4. Step 4: Simplify right side
    29,549.01x = 435,596,869.71
  5. Step 5: Solve for x
    x = 435,596,869.71/29,549.01
  6. Step 6: Final answer
    x = 14,741.50

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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.