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Finding the Fourth Proportional to 38,547.75, 53,197.93 and 23,437.91

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Solution

The fourth proportional to 38,547.75, 53,197.93 and 23,437.91 is: 32,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.75 : 53,197.93 = 23,437.91 : x
  2. Step 2: Convert to fraction form
    38,547.75/53,197.93 = 23,437.91/x
  3. Step 3: Cross multiply
    38,547.75x = 53,197.93 × 23,437.91
  4. Step 4: Simplify right side
    38,547.75x = 1,246,848,457.82
  5. Step 5: Solve for x
    x = 1,246,848,457.82/38,547.75
  6. Step 6: Final answer
    x = 32,345.55

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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.