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Finding the Fourth Proportional to 35,746.96, 53,613.16 and 12,051.76

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Solution

The fourth proportional to 35,746.96, 53,613.16 and 12,051.76 is: 18,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.96 : 53,613.16 = 12,051.76 : x
  2. Step 2: Convert to fraction form
    35,746.96/53,613.16 = 12,051.76/x
  3. Step 3: Cross multiply
    35,746.96x = 53,613.16 × 12,051.76
  4. Step 4: Simplify right side
    35,746.96x = 646,132,937.16
  5. Step 5: Solve for x
    x = 646,132,937.16/35,746.96
  6. Step 6: Final answer
    x = 18,075.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.