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Finding the Fourth Proportional to 42,648.50, 63,972.76 and 14,946.50

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Solution

The fourth proportional to 42,648.50, 63,972.76 and 14,946.50 is: 22,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648.50 : 63,972.76 = 14,946.50 : x
  2. Step 2: Convert to fraction form
    42,648.50/63,972.76 = 14,946.50/x
  3. Step 3: Cross multiply
    42,648.50x = 63,972.76 × 14,946.50
  4. Step 4: Simplify right side
    42,648.50x = 956,168,857.34
  5. Step 5: Solve for x
    x = 956,168,857.34/42,648.50
  6. Step 6: Final answer
    x = 22,419.75

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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.