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Finding the Fourth Proportional to 46,302.80, 63,897.66 and 25,082

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Solution

The fourth proportional to 46,302.80, 63,897.66 and 25,082 is: 34,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.80 : 63,897.66 = 25,082 : x
  2. Step 2: Convert to fraction form
    46,302.80/63,897.66 = 25,082/x
  3. Step 3: Cross multiply
    46,302.80x = 63,897.66 × 25,082
  4. Step 4: Simplify right side
    46,302.80x = 1,602,681,108.12
  5. Step 5: Solve for x
    x = 1,602,681,108.12/46,302.80
  6. Step 6: Final answer
    x = 34,613.05

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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.