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Finding the Fourth Proportional to 74,894, 112,427.40 and 38,035.76

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Solution

The fourth proportional to 74,894, 112,427.40 and 38,035.76 is: 57,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,894 : 112,427.40 = 38,035.76 : x
  2. Step 2: Convert to fraction form
    74,894/112,427.40 = 38,035.76/x
  3. Step 3: Cross multiply
    74,894x = 112,427.40 × 38,035.76
  4. Step 4: Simplify right side
    74,894x = 4,276,261,603.82
  5. Step 5: Solve for x
    x = 4,276,261,603.82/74,894
  6. Step 6: Final answer
    x = 57,097.52

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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.