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Finding the Fourth Proportional to 67,752, 93,497.76 and 37,944

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Solution

The fourth proportional to 67,752, 93,497.76 and 37,944 is: 52,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752 : 93,497.76 = 37,944 : x
  2. Step 2: Convert to fraction form
    67,752/93,497.76 = 37,944/x
  3. Step 3: Cross multiply
    67,752x = 93,497.76 × 37,944
  4. Step 4: Simplify right side
    67,752x = 3,547,679,005.44
  5. Step 5: Solve for x
    x = 3,547,679,005.44/67,752
  6. Step 6: Final answer
    x = 52,362.72

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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.