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Finding the Fourth Proportional to 30,594.32, 45,897.24 and 13,063.76

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Solution

The fourth proportional to 30,594.32, 45,897.24 and 13,063.76 is: 19,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.32 : 45,897.24 = 13,063.76 : x
  2. Step 2: Convert to fraction form
    30,594.32/45,897.24 = 13,063.76/x
  3. Step 3: Cross multiply
    30,594.32x = 45,897.24 × 13,063.76
  4. Step 4: Simplify right side
    30,594.32x = 599,590,528.02
  5. Step 5: Solve for x
    x = 599,590,528.02/30,594.32
  6. Step 6: Final answer
    x = 19,598.10

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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.