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Finding the Fourth Proportional to 30,670.57, 46,006.76 and 8,484.13

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Solution

The fourth proportional to 30,670.57, 46,006.76 and 8,484.13 is: 12,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.57 : 46,006.76 = 8,484.13 : x
  2. Step 2: Convert to fraction form
    30,670.57/46,006.76 = 8,484.13/x
  3. Step 3: Cross multiply
    30,670.57x = 46,006.76 × 8,484.13
  4. Step 4: Simplify right side
    30,670.57x = 390,327,332.72
  5. Step 5: Solve for x
    x = 390,327,332.72/30,670.57
  6. Step 6: Final answer
    x = 12,726.45

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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.