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Finding the Fourth Proportional to 30,713.38, 46,070.07 and 8,526.77

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Solution

The fourth proportional to 30,713.38, 46,070.07 and 8,526.77 is: 12,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.38 : 46,070.07 = 8,526.77 : x
  2. Step 2: Convert to fraction form
    30,713.38/46,070.07 = 8,526.77/x
  3. Step 3: Cross multiply
    30,713.38x = 46,070.07 × 8,526.77
  4. Step 4: Simplify right side
    30,713.38x = 392,828,801.21
  5. Step 5: Solve for x
    x = 392,828,801.21/30,713.38
  6. Step 6: Final answer
    x = 12,790.15

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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.