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Finding the Fourth Proportional to 61,842.48, 92,762.32 and 15,095.20

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Solution

The fourth proportional to 61,842.48, 92,762.32 and 15,095.20 is: 22,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.48 : 92,762.32 = 15,095.20 : x
  2. Step 2: Convert to fraction form
    61,842.48/92,762.32 = 15,095.20/x
  3. Step 3: Cross multiply
    61,842.48x = 92,762.32 × 15,095.20
  4. Step 4: Simplify right side
    61,842.48x = 1,400,265,772.86
  5. Step 5: Solve for x
    x = 1,400,265,772.86/61,842.48
  6. Step 6: Final answer
    x = 22,642.46

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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.