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Finding the Fourth Proportional to 76,140, 114,248.88 and 34,032.96

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Solution

The fourth proportional to 76,140, 114,248.88 and 34,032.96 is: 51,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 114,248.88 = 34,032.96 : x
  2. Step 2: Convert to fraction form
    76,140/114,248.88 = 34,032.96/x
  3. Step 3: Cross multiply
    76,140x = 114,248.88 × 34,032.96
  4. Step 4: Simplify right side
    76,140x = 3,888,227,563.08
  5. Step 5: Solve for x
    x = 3,888,227,563.08/76,140
  6. Step 6: Final answer
    x = 51,066.82

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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.