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Finding the Fourth Proportional to 53,820.64, 74,240.88 and 34,970.24

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Solution

The fourth proportional to 53,820.64, 74,240.88 and 34,970.24 is: 48,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.64 : 74,240.88 = 34,970.24 : x
  2. Step 2: Convert to fraction form
    53,820.64/74,240.88 = 34,970.24/x
  3. Step 3: Cross multiply
    53,820.64x = 74,240.88 × 34,970.24
  4. Step 4: Simplify right side
    53,820.64x = 2,596,221,391.41
  5. Step 5: Solve for x
    x = 2,596,221,391.41/53,820.64
  6. Step 6: Final answer
    x = 48,238.40

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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.