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Finding the Fourth Proportional to 30,681.72, 42,311.70 and 18,580.32

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Solution

The fourth proportional to 30,681.72, 42,311.70 and 18,580.32 is: 25,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.72 : 42,311.70 = 18,580.32 : x
  2. Step 2: Convert to fraction form
    30,681.72/42,311.70 = 18,580.32/x
  3. Step 3: Cross multiply
    30,681.72x = 42,311.70 × 18,580.32
  4. Step 4: Simplify right side
    30,681.72x = 786,164,925.74
  5. Step 5: Solve for x
    x = 786,164,925.74/30,681.72
  6. Step 6: Final answer
    x = 25,623.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.