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Finding the Fourth Proportional to 37,547.16, 56,264.70 and 34,227.72

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Solution

The fourth proportional to 37,547.16, 56,264.70 and 34,227.72 is: 51,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547.16 : 56,264.70 = 34,227.72 : x
  2. Step 2: Convert to fraction form
    37,547.16/56,264.70 = 34,227.72/x
  3. Step 3: Cross multiply
    37,547.16x = 56,264.70 × 34,227.72
  4. Step 4: Simplify right side
    37,547.16x = 1,925,812,397.48
  5. Step 5: Solve for x
    x = 1,925,812,397.48/37,547.16
  6. Step 6: Final answer
    x = 51,290.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.