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Finding the Fourth Proportional to 56,595.78, 78,158.79 and 46,623.06

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Solution

The fourth proportional to 56,595.78, 78,158.79 and 46,623.06 is: 64,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,595.78 : 78,158.79 = 46,623.06 : x
  2. Step 2: Convert to fraction form
    56,595.78/78,158.79 = 46,623.06/x
  3. Step 3: Cross multiply
    56,595.78x = 78,158.79 × 46,623.06
  4. Step 4: Simplify right side
    56,595.78x = 3,644,001,955.70
  5. Step 5: Solve for x
    x = 3,644,001,955.70/56,595.78
  6. Step 6: Final answer
    x = 64,386.46

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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.