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Finding the Fourth Proportional to 38,477.67, 53,129.24 and 29,510.97

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Solution

The fourth proportional to 38,477.67, 53,129.24 and 29,510.97 is: 40,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.67 : 53,129.24 = 29,510.97 : x
  2. Step 2: Convert to fraction form
    38,477.67/53,129.24 = 29,510.97/x
  3. Step 3: Cross multiply
    38,477.67x = 53,129.24 × 29,510.97
  4. Step 4: Simplify right side
    38,477.67x = 1,567,895,407.76
  5. Step 5: Solve for x
    x = 1,567,895,407.76/38,477.67
  6. Step 6: Final answer
    x = 40,748.19

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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.