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Finding the Fourth Proportional to 53,862.60, 74,329.68 and 31,506.60

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Solution

The fourth proportional to 53,862.60, 74,329.68 and 31,506.60 is: 43,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,862.60 : 74,329.68 = 31,506.60 : x
  2. Step 2: Convert to fraction form
    53,862.60/74,329.68 = 31,506.60/x
  3. Step 3: Cross multiply
    53,862.60x = 74,329.68 × 31,506.60
  4. Step 4: Simplify right side
    53,862.60x = 2,341,875,495.89
  5. Step 5: Solve for x
    x = 2,341,875,495.89/53,862.60
  6. Step 6: Final answer
    x = 43,478.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.