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Finding the Fourth Proportional to 61,746.66, 85,214.31 and 37,870.08

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Solution

The fourth proportional to 61,746.66, 85,214.31 and 37,870.08 is: 52,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746.66 : 85,214.31 = 37,870.08 : x
  2. Step 2: Convert to fraction form
    61,746.66/85,214.31 = 37,870.08/x
  3. Step 3: Cross multiply
    61,746.66x = 85,214.31 × 37,870.08
  4. Step 4: Simplify right side
    61,746.66x = 3,227,072,736.84
  5. Step 5: Solve for x
    x = 3,227,072,736.84/61,746.66
  6. Step 6: Final answer
    x = 52,263.11

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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.