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Finding the Fourth Proportional to 52,985.63, 73,077.86 and 34,854.98

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Solution

The fourth proportional to 52,985.63, 73,077.86 and 34,854.98 is: 48,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,985.63 : 73,077.86 = 34,854.98 : x
  2. Step 2: Convert to fraction form
    52,985.63/73,077.86 = 34,854.98/x
  3. Step 3: Cross multiply
    52,985.63x = 73,077.86 × 34,854.98
  4. Step 4: Simplify right side
    52,985.63x = 2,547,127,070.49
  5. Step 5: Solve for x
    x = 2,547,127,070.49/52,985.63
  6. Step 6: Final answer
    x = 48,072.03

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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.