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Finding the Fourth Proportional to 34,547.68, 51,748.62 and 34,154.02

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Solution

The fourth proportional to 34,547.68, 51,748.62 and 34,154.02 is: 51,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,547.68 : 51,748.62 = 34,154.02 : x
  2. Step 2: Convert to fraction form
    34,547.68/51,748.62 = 34,154.02/x
  3. Step 3: Cross multiply
    34,547.68x = 51,748.62 × 34,154.02
  4. Step 4: Simplify right side
    34,547.68x = 1,767,423,402.45
  5. Step 5: Solve for x
    x = 1,767,423,402.45/34,547.68
  6. Step 6: Final answer
    x = 51,158.96

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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.