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Finding the Fourth Proportional to 46,565.76, 69,848.64 and 15,401.01

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Solution

The fourth proportional to 46,565.76, 69,848.64 and 15,401.01 is: 23,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,565.76 : 69,848.64 = 15,401.01 : x
  2. Step 2: Convert to fraction form
    46,565.76/69,848.64 = 15,401.01/x
  3. Step 3: Cross multiply
    46,565.76x = 69,848.64 × 15,401.01
  4. Step 4: Simplify right side
    46,565.76x = 1,075,739,603.13
  5. Step 5: Solve for x
    x = 1,075,739,603.13/46,565.76
  6. Step 6: Final answer
    x = 23,101.52

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Why These Related Problems?

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