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Finding the Fourth Proportional to 53,700, 74,108.08 and 29,828.48

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Solution

The fourth proportional to 53,700, 74,108.08 and 29,828.48 is: 41,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700 : 74,108.08 = 29,828.48 : x
  2. Step 2: Convert to fraction form
    53,700/74,108.08 = 29,828.48/x
  3. Step 3: Cross multiply
    53,700x = 74,108.08 × 29,828.48
  4. Step 4: Simplify right side
    53,700x = 2,210,531,382.12
  5. Step 5: Solve for x
    x = 2,210,531,382.12/53,700
  6. Step 6: Final answer
    x = 41,164.46

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1.5x scale

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.