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Finding the Fourth Proportional to 52,531, 72,492.78 and 33,668.13

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Solution

The fourth proportional to 52,531, 72,492.78 and 33,668.13 is: 46,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,531 : 72,492.78 = 33,668.13 : x
  2. Step 2: Convert to fraction form
    52,531/72,492.78 = 33,668.13/x
  3. Step 3: Cross multiply
    52,531x = 72,492.78 × 33,668.13
  4. Step 4: Simplify right side
    52,531x = 2,440,696,341.10
  5. Step 5: Solve for x
    x = 2,440,696,341.10/52,531
  6. Step 6: Final answer
    x = 46,462.02

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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.