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Finding the Fourth Proportional to 55,841.16, 77,038.83 and 31,955.04

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Solution

The fourth proportional to 55,841.16, 77,038.83 and 31,955.04 is: 44,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,841.16 : 77,038.83 = 31,955.04 : x
  2. Step 2: Convert to fraction form
    55,841.16/77,038.83 = 31,955.04/x
  3. Step 3: Cross multiply
    55,841.16x = 77,038.83 × 31,955.04
  4. Step 4: Simplify right side
    55,841.16x = 2,461,778,894.20
  5. Step 5: Solve for x
    x = 2,461,778,894.20/55,841.16
  6. Step 6: Final answer
    x = 44,085.38

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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.