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Finding the Fourth Proportional to 30,106.88, 45,098.88 and 13,702.40

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Solution

The fourth proportional to 30,106.88, 45,098.88 and 13,702.40 is: 20,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.88 : 45,098.88 = 13,702.40 : x
  2. Step 2: Convert to fraction form
    30,106.88/45,098.88 = 13,702.40/x
  3. Step 3: Cross multiply
    30,106.88x = 45,098.88 × 13,702.40
  4. Step 4: Simplify right side
    30,106.88x = 617,962,893.31
  5. Step 5: Solve for x
    x = 617,962,893.31/30,106.88
  6. Step 6: Final answer
    x = 20,525.64

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1.5x scale

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.