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Finding the Fourth Proportional to 67,730, 93,465.84 and 37,514.16

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Solution

The fourth proportional to 67,730, 93,465.84 and 37,514.16 is: 51,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,730 : 93,465.84 = 37,514.16 : x
  2. Step 2: Convert to fraction form
    67,730/93,465.84 = 37,514.16/x
  3. Step 3: Cross multiply
    67,730x = 93,465.84 × 37,514.16
  4. Step 4: Simplify right side
    67,730x = 3,506,292,476.29
  5. Step 5: Solve for x
    x = 3,506,292,476.29/67,730
  6. Step 6: Final answer
    x = 51,768.68

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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.