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Finding the Fourth Proportional to 38,429.40, 53,065.62 and 24,307.32

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Solution

The fourth proportional to 38,429.40, 53,065.62 and 24,307.32 is: 33,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.40 : 53,065.62 = 24,307.32 : x
  2. Step 2: Convert to fraction form
    38,429.40/53,065.62 = 24,307.32/x
  3. Step 3: Cross multiply
    38,429.40x = 53,065.62 × 24,307.32
  4. Step 4: Simplify right side
    38,429.40x = 1,289,883,006.34
  5. Step 5: Solve for x
    x = 1,289,883,006.34/38,429.40
  6. Step 6: Final answer
    x = 33,565.01

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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.