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Finding the Fourth Proportional to 35,702.62, 53,568.62 and 15,701.82

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Solution

The fourth proportional to 35,702.62, 53,568.62 and 15,701.82 is: 23,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.62 : 53,568.62 = 15,701.82 : x
  2. Step 2: Convert to fraction form
    35,702.62/53,568.62 = 15,701.82/x
  3. Step 3: Cross multiply
    35,702.62x = 53,568.62 × 15,701.82
  4. Step 4: Simplify right side
    35,702.62x = 841,124,828.89
  5. Step 5: Solve for x
    x = 841,124,828.89/35,702.62
  6. Step 6: Final answer
    x = 23,559.19

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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.