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Finding the Fourth Proportional to 52,848.46, 72,888.53 and 46,461.48

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Solution

The fourth proportional to 52,848.46, 72,888.53 and 46,461.48 is: 64,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,848.46 : 72,888.53 = 46,461.48 : x
  2. Step 2: Convert to fraction form
    52,848.46/72,888.53 = 46,461.48/x
  3. Step 3: Cross multiply
    52,848.46x = 72,888.53 × 46,461.48
  4. Step 4: Simplify right side
    52,848.46x = 3,386,508,473.19
  5. Step 5: Solve for x
    x = 3,386,508,473.19/52,848.46
  6. Step 6: Final answer
    x = 64,079.60

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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.