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Finding the Fourth Proportional to 42,047.61, 63,071.66 and 12,465.70

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Solution

The fourth proportional to 42,047.61, 63,071.66 and 12,465.70 is: 18,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.61 : 63,071.66 = 12,465.70 : x
  2. Step 2: Convert to fraction form
    42,047.61/63,071.66 = 12,465.70/x
  3. Step 3: Cross multiply
    42,047.61x = 63,071.66 × 12,465.70
  4. Step 4: Simplify right side
    42,047.61x = 786,232,392.06
  5. Step 5: Solve for x
    x = 786,232,392.06/42,047.61
  6. Step 6: Final answer
    x = 18,698.62

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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.