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Finding the Fourth Proportional to 34,702.59, 52,075.29 and 13,638.93

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Solution

The fourth proportional to 34,702.59, 52,075.29 and 13,638.93 is: 20,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.59 : 52,075.29 = 13,638.93 : x
  2. Step 2: Convert to fraction form
    34,702.59/52,075.29 = 13,638.93/x
  3. Step 3: Cross multiply
    34,702.59x = 52,075.29 × 13,638.93
  4. Step 4: Simplify right side
    34,702.59x = 710,251,144.95
  5. Step 5: Solve for x
    x = 710,251,144.95/34,702.59
  6. Step 6: Final answer
    x = 20,466.81

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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.