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Finding the Fourth Proportional to 42,470.42, 63,705.78 and 12,888.50

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Solution

The fourth proportional to 42,470.42, 63,705.78 and 12,888.50 is: 19,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470.42 : 63,705.78 = 12,888.50 : x
  2. Step 2: Convert to fraction form
    42,470.42/63,705.78 = 12,888.50/x
  3. Step 3: Cross multiply
    42,470.42x = 63,705.78 × 12,888.50
  4. Step 4: Simplify right side
    42,470.42x = 821,071,945.53
  5. Step 5: Solve for x
    x = 821,071,945.53/42,470.42
  6. Step 6: Final answer
    x = 19,332.80

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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.