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Finding the Fourth Proportional to 122,547.96, 183,816 and 38,307.42

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Solution

The fourth proportional to 122,547.96, 183,816 and 38,307.42 is: 57,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,547.96 : 183,816 = 38,307.42 : x
  2. Step 2: Convert to fraction form
    122,547.96/183,816 = 38,307.42/x
  3. Step 3: Cross multiply
    122,547.96x = 183,816 × 38,307.42
  4. Step 4: Simplify right side
    122,547.96x = 7,041,516,714.72
  5. Step 5: Solve for x
    x = 7,041,516,714.72/122,547.96
  6. Step 6: Final answer
    x = 57,459.27

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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.