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Finding the Fourth Proportional to 30,703.60, 46,006.80 and 25,746.40

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Solution

The fourth proportional to 30,703.60, 46,006.80 and 25,746.40 is: 38,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.60 : 46,006.80 = 25,746.40 : x
  2. Step 2: Convert to fraction form
    30,703.60/46,006.80 = 25,746.40/x
  3. Step 3: Cross multiply
    30,703.60x = 46,006.80 × 25,746.40
  4. Step 4: Simplify right side
    30,703.60x = 1,184,509,475.52
  5. Step 5: Solve for x
    x = 1,184,509,475.52/30,703.60
  6. Step 6: Final answer
    x = 38,578.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.