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Finding the Fourth Proportional to 38,429, 53,075.76 and 25,831.88

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Solution

The fourth proportional to 38,429, 53,075.76 and 25,831.88 is: 35,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429 : 53,075.76 = 25,831.88 : x
  2. Step 2: Convert to fraction form
    38,429/53,075.76 = 25,831.88/x
  3. Step 3: Cross multiply
    38,429x = 53,075.76 × 25,831.88
  4. Step 4: Simplify right side
    38,429x = 1,371,046,663.23
  5. Step 5: Solve for x
    x = 1,371,046,663.23/38,429
  6. Step 6: Final answer
    x = 35,677.40

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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.