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Finding the Fourth Proportional to 195,024, 292,536 and 47,280

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Solution

The fourth proportional to 195,024, 292,536 and 47,280 is: 70,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,024 : 292,536 = 47,280 : x
  2. Step 2: Convert to fraction form
    195,024/292,536 = 47,280/x
  3. Step 3: Cross multiply
    195,024x = 292,536 × 47,280
  4. Step 4: Simplify right side
    195,024x = 13,831,102,080
  5. Step 5: Solve for x
    x = 13,831,102,080/195,024
  6. Step 6: Final answer
    x = 70,920

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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.