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Finding the Fourth Proportional to 53,706.24, 74,108.93 and 31,041.63

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Solution

The fourth proportional to 53,706.24, 74,108.93 and 31,041.63 is: 42,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.24 : 74,108.93 = 31,041.63 : x
  2. Step 2: Convert to fraction form
    53,706.24/74,108.93 = 31,041.63/x
  3. Step 3: Cross multiply
    53,706.24x = 74,108.93 × 31,041.63
  4. Step 4: Simplify right side
    53,706.24x = 2,300,461,829.55
  5. Step 5: Solve for x
    x = 2,300,461,829.55/53,706.24
  6. Step 6: Final answer
    x = 42,834.16

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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.