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Finding the Fourth Proportional to 61,465, 92,275.32 and 37,714.20

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Solution

The fourth proportional to 61,465, 92,275.32 and 37,714.20 is: 56,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465 : 92,275.32 = 37,714.20 : x
  2. Step 2: Convert to fraction form
    61,465/92,275.32 = 37,714.20/x
  3. Step 3: Cross multiply
    61,465x = 92,275.32 × 37,714.20
  4. Step 4: Simplify right side
    61,465x = 3,480,089,873.54
  5. Step 5: Solve for x
    x = 3,480,089,873.54/61,465
  6. Step 6: Final answer
    x = 56,619.05

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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.