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Finding the Fourth Proportional to 29,702.10, 44,538.93 and 9,975.18

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Solution

The fourth proportional to 29,702.10, 44,538.93 and 9,975.18 is: 14,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.10 : 44,538.93 = 9,975.18 : x
  2. Step 2: Convert to fraction form
    29,702.10/44,538.93 = 9,975.18/x
  3. Step 3: Cross multiply
    29,702.10x = 44,538.93 × 9,975.18
  4. Step 4: Simplify right side
    29,702.10x = 444,283,843.76
  5. Step 5: Solve for x
    x = 444,283,843.76/29,702.10
  6. Step 6: Final answer
    x = 14,957.99

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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.