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Finding the Fourth Proportional to 52,852.40, 72,934.02 and 31,643.36

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Solution

The fourth proportional to 52,852.40, 72,934.02 and 31,643.36 is: 43,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852.40 : 72,934.02 = 31,643.36 : x
  2. Step 2: Convert to fraction form
    52,852.40/72,934.02 = 31,643.36/x
  3. Step 3: Cross multiply
    52,852.40x = 72,934.02 × 31,643.36
  4. Step 4: Simplify right side
    52,852.40x = 2,307,877,359.94
  5. Step 5: Solve for x
    x = 2,307,877,359.94/52,852.40
  6. Step 6: Final answer
    x = 43,666.46

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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.