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Finding the Fourth Proportional to 97,854.84, 146,832.48 and 47,934

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Solution

The fourth proportional to 97,854.84, 146,832.48 and 47,934 is: 71,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.84 : 146,832.48 = 47,934 : x
  2. Step 2: Convert to fraction form
    97,854.84/146,832.48 = 47,934/x
  3. Step 3: Cross multiply
    97,854.84x = 146,832.48 × 47,934
  4. Step 4: Simplify right side
    97,854.84x = 7,038,268,096.32
  5. Step 5: Solve for x
    x = 7,038,268,096.32/97,854.84
  6. Step 6: Final answer
    x = 71,925.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.