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Finding the Fourth Proportional to 30,319.16, 45,456.84 and 12,779.40

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Solution

The fourth proportional to 30,319.16, 45,456.84 and 12,779.40 is: 19,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.16 : 45,456.84 = 12,779.40 : x
  2. Step 2: Convert to fraction form
    30,319.16/45,456.84 = 12,779.40/x
  3. Step 3: Cross multiply
    30,319.16x = 45,456.84 × 12,779.40
  4. Step 4: Simplify right side
    30,319.16x = 580,911,141.10
  5. Step 5: Solve for x
    x = 580,911,141.10/30,319.16
  6. Step 6: Final answer
    x = 19,159.87

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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.