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Finding the Fourth Proportional to 75,152.16, 112,734.64 and 19,748

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Solution

The fourth proportional to 75,152.16, 112,734.64 and 19,748 is: 29,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,152.16 : 112,734.64 = 19,748 : x
  2. Step 2: Convert to fraction form
    75,152.16/112,734.64 = 19,748/x
  3. Step 3: Cross multiply
    75,152.16x = 112,734.64 × 19,748
  4. Step 4: Simplify right side
    75,152.16x = 2,226,283,670.72
  5. Step 5: Solve for x
    x = 2,226,283,670.72/75,152.16
  6. Step 6: Final answer
    x = 29,623.68

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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.