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Finding the Fourth Proportional to 33,702.60, 46,518.84 and 19,560

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Solution

The fourth proportional to 33,702.60, 46,518.84 and 19,560 is: 26,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.60 : 46,518.84 = 19,560 : x
  2. Step 2: Convert to fraction form
    33,702.60/46,518.84 = 19,560/x
  3. Step 3: Cross multiply
    33,702.60x = 46,518.84 × 19,560
  4. Step 4: Simplify right side
    33,702.60x = 909,908,510.40
  5. Step 5: Solve for x
    x = 909,908,510.40/33,702.60
  6. Step 6: Final answer
    x = 26,998.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.