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Finding the Fourth Proportional to 53,702.18, 74,106.48 and 29,830.30

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Solution

The fourth proportional to 53,702.18, 74,106.48 and 29,830.30 is: 41,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,702.18 : 74,106.48 = 29,830.30 : x
  2. Step 2: Convert to fraction form
    53,702.18/74,106.48 = 29,830.30/x
  3. Step 3: Cross multiply
    53,702.18x = 74,106.48 × 29,830.30
  4. Step 4: Simplify right side
    53,702.18x = 2,210,618,530.34
  5. Step 5: Solve for x
    x = 2,210,618,530.34/53,702.18
  6. Step 6: Final answer
    x = 41,164.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.