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Finding the Fourth Proportional to 92,352, 127,458.24 and 52,074

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Solution

The fourth proportional to 92,352, 127,458.24 and 52,074 is: 71,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 127,458.24 = 52,074 : x
  2. Step 2: Convert to fraction form
    92,352/127,458.24 = 52,074/x
  3. Step 3: Cross multiply
    92,352x = 127,458.24 × 52,074
  4. Step 4: Simplify right side
    92,352x = 6,637,260,389.76
  5. Step 5: Solve for x
    x = 6,637,260,389.76/92,352
  6. Step 6: Final answer
    x = 71,869.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.